Question

$$8x- \frac{ 20 }{ 7 } =4$$

Answer

x=6/7

Solution


Add \(\frac{20}{7}\) to both sides.
\[8x=4+\frac{20}{7}\]
Simplify  \(4+\frac{20}{7}\)  to  \(\frac{48}{7}\).
\[8x=\frac{48}{7}\]
Divide both sides by \(8\).
\[x=\frac{\frac{48}{7}}{8}\]
Simplify  \(\frac{\frac{48}{7}}{8}\)  to  \(\frac{48}{7\times 8}\).
\[x=\frac{48}{7\times 8}\]
Simplify  \(7\times 8\)  to  \(56\).
\[x=\frac{48}{56}\]
Simplify  \(\frac{48}{56}\)  to  \(\frac{6}{7}\).
\[x=\frac{6}{7}\]

Decimal Form: 0.857143