Question

$$4\frac{x}{5}+2\frac{7}{10}=7\frac{3}{10}$$

Answer

x=23/4

Solution


Simplify  \(4\times \frac{x}{5}\)  to  \(\frac{4x}{5}\).
\[\frac{4x}{5}+\frac{27}{10}=\frac{73}{10}\]
Subtract \(\frac{27}{10}\) from both sides.
\[\frac{4x}{5}=\frac{73}{10}-\frac{27}{10}\]
Simplify  \(\frac{73}{10}-\frac{27}{10}\)  to  \(\frac{23}{5}\).
\[\frac{4x}{5}=\frac{23}{5}\]
Multiply both sides by \(5\).
\[4x=\frac{23}{5}\times 5\]
Cancel \(5\).
\[4x=23\]
Divide both sides by \(4\).
\[x=\frac{23}{4}\]

Decimal Form: 5.75