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Let’s check out your problem:
5
(
2
x
−
4
)
=
5
x
5(2 x-4)=5 x
5
(
2
x
−
4
)
=
5
x
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Math Problems
Algebra 2
Add, subtract, multiply, and divide polynomials
Full solution
Q.
5
(
2
x
−
4
)
=
5
x
5(2 x-4)=5 x
5
(
2
x
−
4
)
=
5
x
Distribute and Simplify:
Distribute the
5
5
5
across the terms inside the parentheses.
5
(
2
x
−
4
)
=
5
x
5(2x - 4) = 5x
5
(
2
x
−
4
)
=
5
x
10
x
−
20
=
5
x
10x - 20 = 5x
10
x
−
20
=
5
x
Combine Like Terms:
Subtract
5
x
5x
5
x
from both sides to get all
x
x
x
terms on one side.
\newline
10
x
−
20
−
5
x
=
5
x
−
5
x
10x - 20 - 5x = 5x - 5x
10
x
−
20
−
5
x
=
5
x
−
5
x
\newline
5
x
−
20
=
0
5x - 20 = 0
5
x
−
20
=
0
Isolate x Term:
Add
20
20
20
to both sides to isolate the
x
x
x
term.
\newline
5
x
−
20
+
20
=
0
+
20
5x - 20 + 20 = 0 + 20
5
x
−
20
+
20
=
0
+
20
\newline
5
x
=
20
5x = 20
5
x
=
20
Solve for x:
Divide both sides by
5
5
5
to solve for x.
\newline
5
x
5
=
20
5
\frac{5x}{5} = \frac{20}{5}
5
5
x
=
5
20
\newline
x
=
4
x = 4
x
=
4
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\newline
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