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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
.
\newline
−
2
(
−
x
−
5
)
−
5
x
−
1
=
30
-2(-x-5)-5 x-1=30
−
2
(
−
x
−
5
)
−
5
x
−
1
=
30
\newline
Answer:
View step-by-step help
Home
Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
Solve for
x
\mathrm{x}
x
.
\newline
−
2
(
−
x
−
5
)
−
5
x
−
1
=
30
-2(-x-5)-5 x-1=30
−
2
(
−
x
−
5
)
−
5
x
−
1
=
30
\newline
Answer:
Distribute and Simplify:
First, distribute the
−
2
-2
−
2
into the parentheses.
\newline
−
2
(
−
x
)
−
2
(
−
5
)
−
5
x
−
1
=
30
-2(-x) - 2(-5) - 5x - 1 = 30
−
2
(
−
x
)
−
2
(
−
5
)
−
5
x
−
1
=
30
\newline
2
x
−
10
−
5
x
−
1
=
30
2x - 10 - 5x - 1 = 30
2
x
−
10
−
5
x
−
1
=
30
Combine Like Terms:
Combine like terms on the left side of the equation.
\newline
(
2
x
−
5
x
)
−
10
−
1
=
30
(2x - 5x) - 10 - 1 = 30
(
2
x
−
5
x
)
−
10
−
1
=
30
\newline
−
3
x
−
11
=
30
-3x - 11 = 30
−
3
x
−
11
=
30
Addition to Isolate Variable:
Add
11
11
11
to both sides to isolate the term with the variable.
\newline
−
3
x
−
11
+
11
=
30
+
11
-3x - 11 + 11 = 30 + 11
−
3
x
−
11
+
11
=
30
+
11
\newline
−
3
x
=
41
-3x = 41
−
3
x
=
41
Divide to Solve for x:
Divide both sides by
−
3
-3
−
3
to solve for
x
x
x
.
−
3
x
/
−
3
=
41
/
−
3
-3x / -3 = 41 / -3
−
3
x
/
−
3
=
41/
−
3
x
=
−
41
/
3
x = -41/3
x
=
−
41/3
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