Question

$$\frac{ 8x }{ 5 } -3=x$$

Answer

x=5

Solution


Multiply both sides by \(5\).
\[8x-15=5x\]
Subtract \(8x\) from both sides.
\[-15=5x-8x\]
Simplify  \(5x-8x\)  to  \(-3x\).
\[-15=-3x\]
Divide both sides by \(-3\).
\[\frac{-15}{-3}=x\]
Two negatives make a positive.
\[\frac{15}{3}=x\]
Simplify  \(\frac{15}{3}\)  to  \(5\).
\[5=x\]
Switch sides.
\[x=5\]