# How do you solve -4x - 2= - 2+ 8x?

Jan 26, 2018

$x = 0$

#### Explanation:

Isolate $x$ on to one side.

$- 4 x - 2 = - 2 + 8 x$

I can add $4 x$ to both sides to eliminate $- 4 x$ on the $L H S$.

$\therefore \cancel{- 4 x} - 2 + \cancel{4 x} = - 2 + 8 x + 4 x$

$- 2 = 12 x - 2$

Adding $2$ to both sides eliminates both $2$'s.

$\cancel{- 2} + \cancel{2} = 12 x - \cancel{2} + \cancel{2}$

$12 x = 0$

$x = 0$