How do you solve -10x-8=2x?

Mar 25, 2018

$x = - \frac{2}{3}$

Explanation:

Solve:

$- 10 x - 8 = 2 x$

Add $10 x$ to both sides.

$- 10 x + 10 x - 8 = 2 x + 10 x$

Simplify.

$0 - 8 = 12 x$

$- 8 = 12 x$

Divide both sides by $12$.

$\frac{- 8}{12} = \frac{{\textcolor{red}{\cancel{\textcolor{b l a c k}{12 x}}}}^{1}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{12}}}} ^ 1$

Simplify.

$- \frac{8}{12} = x$

Reduce the fraction by dividing both the numerator and denominator by $4$.

$- \frac{8 \div 4}{12 \div 4} = x$

Simplify.

$- \frac{2}{3} = x$

Switch sides.

$x = - \frac{2}{3}$