# How do you solve -8-7x=-5x-10?

Dec 10, 2016

$x = 1$

#### Explanation:

First, isolate the $x$ terms and the constants on different sides of the equation while keeping the equation balanced:

$- 8 - 7 x + 7 x + 10 = - 5 x - 10 + 7 x + 10$

$- 8 - 0 + 10 = - 5 x + 7 x - 0$

$- 8 + 10 = - 5 x + 7 x$

We can now combine terms and solve for $x$ while keeping the equation balanced:

$2 = \left(- 5 + 7\right) x$

$2 = 2 x$

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

$1 = \frac{\cancel{2} x}{\cancel{2}}$

$x = 1$