Solve for a
a=\frac{4x}{3}+\frac{3}{2}
Solve for x
x=\frac{3a}{4}-\frac{9}{8}
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8x=3\left(2a-3\right)
Multiply both sides of the equation by 2.
8x=6a-9
Use the distributive property to multiply 3 by 2a-3.
6a-9=8x
Swap sides so that all variable terms are on the left hand side.
6a=8x+9
Add 9 to both sides.
\frac{6a}{6}=\frac{8x+9}{6}
Divide both sides by 6.
a=\frac{8x+9}{6}
Dividing by 6 undoes the multiplication by 6.
a=\frac{4x}{3}+\frac{3}{2}
Divide 8x+9 by 6.
8x=3\left(2a-3\right)
Multiply both sides of the equation by 2.
8x=6a-9
Use the distributive property to multiply 3 by 2a-3.
\frac{8x}{8}=\frac{6a-9}{8}
Divide both sides by 8.
x=\frac{6a-9}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{3a}{4}-\frac{9}{8}
Divide 6a-9 by 8.
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