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Let’s check out your problem:
x
−
20
=
2
3
x
x-20=\frac{2}{3} x
x
−
20
=
3
2
x
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Math Problems
Algebra 1
Evaluate integers raised to rational exponents
Full solution
Q.
x
−
20
=
2
3
x
x-20=\frac{2}{3} x
x
−
20
=
3
2
x
Isolate x terms:
Step
1
1
1
: Isolate x terms on one side.
\newline
x
−
2
3
x
=
20
x - \frac{2}{3}x = 20
x
−
3
2
x
=
20
Combine like terms:
Step
2
2
2
: Combine like terms.
\newline
(
1
−
2
3
)
x
=
20
(1 - \frac{2}{3})x = 20
(
1
−
3
2
)
x
=
20
\newline
(
1
3
)
x
=
20
(\frac{1}{3})x = 20
(
3
1
)
x
=
20
Solve for x:
Step
3
3
3
: Solve for
x
x
x
by multiplying both sides by the reciprocal of
1
3
\frac{1}{3}
3
1
.
x
=
20
×
(
3
1
)
x = 20 \times \left(\frac{3}{1}\right)
x
=
20
×
(
1
3
)
x
=
60
x = 60
x
=
60
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