Solve for a
a=\frac{5}{2}-\frac{3}{2x}
x\neq 0
Solve for x
x=\frac{3}{5-2a}
a\neq \frac{5}{2}
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-2ax=3-5x
Subtract 5x from both sides.
\left(-2x\right)a=3-5x
The equation is in standard form.
\frac{\left(-2x\right)a}{-2x}=\frac{3-5x}{-2x}
Divide both sides by -2x.
a=\frac{3-5x}{-2x}
Dividing by -2x undoes the multiplication by -2x.
a=\frac{5}{2}-\frac{3}{2x}
Divide 3-5x by -2x.
\left(5-2a\right)x=3
Combine all terms containing x.
\frac{\left(5-2a\right)x}{5-2a}=\frac{3}{5-2a}
Divide both sides by 5-2a.
x=\frac{3}{5-2a}
Dividing by 5-2a undoes the multiplication by 5-2a.
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