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Let’s check out your problem:
13
+
4
x
=
2
(
11
x
+
20
)
+
x
13 + 4x = 2(11x + 20) + x
13
+
4
x
=
2
(
11
x
+
20
)
+
x
View step-by-step help
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Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
13
+
4
x
=
2
(
11
x
+
20
)
+
x
13 + 4x = 2(11x + 20) + x
13
+
4
x
=
2
(
11
x
+
20
)
+
x
Expand equation:
Expand the right side of the equation.
\newline
13
+
4
x
=
2
(
11
x
+
20
)
+
x
13 + 4x = 2(11x + 20) + x
13
+
4
x
=
2
(
11
x
+
20
)
+
x
\newline
13
+
4
x
=
22
x
+
40
+
x
13 + 4x = 22x + 40 + x
13
+
4
x
=
22
x
+
40
+
x
Combine like terms:
Combine like terms on the right side.
\newline
13
+
4
x
=
22
x
+
40
+
x
13 + 4x = 22x + 40 + x
13
+
4
x
=
22
x
+
40
+
x
\newline
13
+
4
x
=
23
x
+
40
13 + 4x = 23x + 40
13
+
4
x
=
23
x
+
40
Subtract to isolate
x
x
x
:
Subtract
4
x
4x
4
x
from both sides to get all
x
x
x
terms on one side.
\newline
13
+
4
x
−
4
x
=
23
x
+
40
−
4
x
13 + 4x - 4x = 23x + 40 - 4x
13
+
4
x
−
4
x
=
23
x
+
40
−
4
x
\newline
13
=
19
x
+
40
13 = 19x + 40
13
=
19
x
+
40
Isolate x term:
Subtract
40
40
40
from both sides to isolate the x term.
\newline
13
−
40
=
19
x
+
40
−
40
13 - 40 = 19x + 40 - 40
13
−
40
=
19
x
+
40
−
40
\newline
−
27
=
19
x
-27 = 19x
−
27
=
19
x
Divide to solve
x
x
x
:
Divide both sides by
19
19
19
to solve for
x
x
x
.
\newline
−
27
/
19
=
19
x
/
19
-27 / 19 = 19x / 19
−
27/19
=
19
x
/19
\newline
x
=
−
27
/
19
x = -27 / 19
x
=
−
27/19
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Choose
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answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
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(C) Infinitely many solutions
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9
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9
(
x
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6
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9
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108
\newline
Choose
1
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answer:
\newline
(A) No solutions
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(B) Exactly one solution
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(C) Infinitely many solutions
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6
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x
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7
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4
x
−
2
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−
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
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How many solutions does the following equation have?
\newline
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4
x
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7
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x
\newline
Choose
1
1
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\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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\newline
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y
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\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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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
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