Question

$$x=7x+ \frac{ 8 }{ 9 }$$

Answer

x=-4/27

Solution


Subtract \(7x\) from both sides.
\[x-7x=\frac{8}{9}\]
Simplify  \(x-7x\)  to  \(-6x\).
\[-6x=\frac{8}{9}\]
Divide both sides by \(-6\).
\[x=-\frac{\frac{8}{9}}{6}\]
Simplify  \(\frac{\frac{8}{9}}{6}\)  to  \(\frac{8}{9\times 6}\).
\[x=-\frac{8}{9\times 6}\]
Simplify  \(9\times 6\)  to  \(54\).
\[x=-\frac{8}{54}\]
Simplify  \(\frac{8}{54}\)  to  \(\frac{4}{27}\).
\[x=-\frac{4}{27}\]

Decimal Form: -0.148148