Question

$$\frac{ a }{ 5 } =a- \frac{ 3 }{ 2 }$$

Answer

a=15/8

Solution


Multiply both sides by \(5\).
\[a=5a-\frac{15}{2}\]
Subtract \(5a\) from both sides.
\[a-5a=-\frac{15}{2}\]
Simplify  \(a-5a\)  to  \(-4a\).
\[-4a=-\frac{15}{2}\]
Divide both sides by \(-4\).
\[a=\frac{-\frac{15}{2}}{-4}\]
Two negatives make a positive.
\[a=\frac{\frac{15}{2}}{4}\]
Simplify  \(\frac{\frac{15}{2}}{4}\)  to  \(\frac{15}{2\times 4}\).
\[a=\frac{15}{2\times 4}\]
Simplify  \(2\times 4\)  to  \(8\).
\[a=\frac{15}{8}\]

Decimal Form: 1.875