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Let’s check out your problem:
Solve for
x
x
x
:
\newline
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
-8+7(2 x-4)+3 x=-1-8 x
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
\newline
Answer:
x
=
x=
x
=
View step-by-step help
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Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
Solve for
x
x
x
:
\newline
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
-8+7(2 x-4)+3 x=-1-8 x
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
\newline
Answer:
x
=
x=
x
=
Distribute and Simplify:
First, distribute the
7
7
7
into the terms inside the parentheses.
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
-8 + 7(2x - 4) + 3x = -1 - 8x
−
8
+
7
(
2
x
−
4
)
+
3
x
=
−
1
−
8
x
−
8
+
14
x
−
28
+
3
x
=
−
1
−
8
x
-8 + 14x - 28 + 3x = -1 - 8x
−
8
+
14
x
−
28
+
3
x
=
−
1
−
8
x
Combine Like Terms:
Combine like terms on the left side of the equation.
\newline
(
−
8
−
28
)
+
(
14
x
+
3
x
)
=
−
1
−
8
x
(-8 - 28) + (14x + 3x) = -1 - 8x
(
−
8
−
28
)
+
(
14
x
+
3
x
)
=
−
1
−
8
x
\newline
−
36
+
17
x
=
−
1
−
8
x
-36 + 17x = -1 - 8x
−
36
+
17
x
=
−
1
−
8
x
Move Constant Term:
Add
36
36
36
to both sides to move the constant term to the right side of the equation.
\newline
17
x
=
−
1
−
8
x
+
36
17x = -1 - 8x + 36
17
x
=
−
1
−
8
x
+
36
\newline
17
x
=
35
−
8
x
17x = 35 - 8x
17
x
=
35
−
8
x
Combine X Terms:
Add
8
x
8x
8
x
to both sides to get all the x terms on one side.
\newline
17
x
+
8
x
=
35
17x + 8x = 35
17
x
+
8
x
=
35
\newline
25
x
=
35
25x = 35
25
x
=
35
Solve for X:
Divide both sides by
25
25
25
to solve for
x
x
x
.
x
=
35
25
x = \frac{35}{25}
x
=
25
35
x
=
7
5
x = \frac{7}{5}
x
=
5
7
More problems from Solve linear equations: mixed review
Question
Solve for x.
\newline
(
3
4
)
x
=
12
(\frac{3}{4})x= 12
(
4
3
)
x
=
12
\newline
x
=
x =
x
=
______
Get tutor help
Posted 1 year ago
Question
Solve for x.
\newline
−
5
9
x
=
15
-\frac{5}{9}x= 15
−
9
5
x
=
15
\newline
x
=
x =
x
=
______
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
5
x
+
8
−
7
x
=
−
4
x
+
1
5x+8-7x=-4x+1
5
x
+
8
−
7
x
=
−
4
x
+
1
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
2
z
+
10
+
7
z
=
16
z
+
7
-2z+10+7z=16z+7
−
2
z
+
10
+
7
z
=
16
z
+
7
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 10 months ago
Question
How many solutions does the following equation have?
\newline
7
(
y
−
8
)
=
7
y
+
42
7(y-8)=7y+42
7
(
y
−
8
)
=
7
y
+
42
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
9
(
x
+
6
)
=
−
9
x
+
108
-9(x+6)=-9x+108
−
9
(
x
+
6
)
=
−
9
x
+
108
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
6
(
x
+
7
)
=
−
4
x
−
2
-6(x+7)=-4x-2
−
6
(
x
+
7
)
=
−
4
x
−
2
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
4
x
−
7
+
10
x
=
−
7
+
6
x
-4x-7+10x=-7+6x
−
4
x
−
7
+
10
x
=
−
7
+
6
x
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
−
17
(
y
−
2
)
=
−
17
y
+
64
-17(y-2)=-17y+64
−
17
(
y
−
2
)
=
−
17
y
+
64
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
9
z
−
6
+
7
z
=
16
z
−
6
9z-6+7z=16z-6
9
z
−
6
+
7
z
=
16
z
−
6
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
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