2
3
=
18
x
+
5
Rewrite the equation as
18
x
+
5
=
2
3
.
18
x
+
5
=
2
3
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
(
18
)
⋅
(
3
)
=
(
x
+
5
)
⋅
(
2
)
Solve the equation for
x
.
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x
=
22
Verify each of the solutions by substituting them into
2
3
=
18
x
+
5
and solving.
x
=