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Let’s check out your problem:
Solve for
x
x
x
.
\newline
−
4
(
2
x
+
5
)
−
4
x
−
4
=
36
-4(2 x+5)-4 x-4=36
−
4
(
2
x
+
5
)
−
4
x
−
4
=
36
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
−
4
(
2
x
+
5
)
−
4
x
−
4
=
36
-4(2 x+5)-4 x-4=36
−
4
(
2
x
+
5
)
−
4
x
−
4
=
36
Distribute and Simplify:
First, distribute the
−
4
-4
−
4
into the parentheses.
−
4
×
2
x
+
(
−
4
)
×
5
−
4
x
−
4
=
36
-4 \times 2x + (-4) \times 5 - 4x - 4 = 36
−
4
×
2
x
+
(
−
4
)
×
5
−
4
x
−
4
=
36
−
8
x
−
20
−
4
x
−
4
=
36
-8x - 20 - 4x - 4 = 36
−
8
x
−
20
−
4
x
−
4
=
36
Combine Like Terms:
Combine like terms on the left side of the equation.
\newline
(
−
8
x
−
4
x
)
+
(
−
20
−
4
)
=
36
(-8x - 4x) + (-20 - 4) = 36
(
−
8
x
−
4
x
)
+
(
−
20
−
4
)
=
36
\newline
−
12
x
−
24
=
36
-12x - 24 = 36
−
12
x
−
24
=
36
Add
24
24
24
to Both Sides:
Add
24
24
24
to both sides to isolate the term with the variable.
\newline
−
12
x
−
24
+
24
=
36
+
24
-12x - 24 + 24 = 36 + 24
−
12
x
−
24
+
24
=
36
+
24
\newline
−
12
x
=
60
-12x = 60
−
12
x
=
60
Divide to Solve for x:
Divide both sides by
−
12
-12
−
12
to solve for
x
x
x
.
−
12
x
/
−
12
=
60
/
−
12
-12x / -12 = 60 / -12
−
12
x
/
−
12
=
60/
−
12
x
=
−
5
x = -5
x
=
−
5
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
=
______
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Question
Solve for x.
\newline
−
5
9
x
=
15
-\frac{5}{9}x= 15
−
9
5
x
=
15
\newline
x
=
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x
=
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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
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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
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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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