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Let’s check out your problem:
2
x
+
17
−
5
x
−
20
=
53
2x+17-5x-20=53
2
x
+
17
−
5
x
−
20
=
53
solve for
x
x
x
View step-by-step help
Home
Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
2
x
+
17
−
5
x
−
20
=
53
2x+17-5x-20=53
2
x
+
17
−
5
x
−
20
=
53
solve for
x
x
x
Question Prompt:
question_prompt: What is the value of
x
x
x
in the equation
2
x
+
17
−
5
x
−
20
=
53
2x + 17 - 5x - 20 = 53
2
x
+
17
−
5
x
−
20
=
53
?
Combine Like Terms:
Combine like terms on the left side of the equation:
2
x
−
5
x
+
17
−
20
2x - 5x + 17 - 20
2
x
−
5
x
+
17
−
20
.
Simplify Left Side:
Simplify the left side:
−
3
x
−
3
=
53
-3x - 3 = 53
−
3
x
−
3
=
53
.
Add
3
3
3
to Isolate:
Add
3
3
3
to both sides to isolate the term with
x
x
x
:
−
3
x
=
53
+
3
-3x = 53 + 3
−
3
x
=
53
+
3
.
Simplify Right Side:
Simplify the right side:
−
3
x
=
56
-3x = 56
−
3
x
=
56
.
Divide to Solve:
Divide both sides by
−
3
-3
−
3
to solve for
x
x
x
:
x
=
56
−
3
x = \frac{56}{-3}
x
=
−
3
56
.
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(B) Exactly one solution
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