# How do you solve and check -6x-7 = -1(-9+2x)?

Mar 23, 2018

$x = - 4$

#### Explanation:

$- 6 x - 7 = 9 - 2 x$ distribute
$4 x = - 16$ add 6x and subtract 9 from both sides
$x = - 4$ divide by coefficient (4) to isolate $x$
Check:
Plug $- 4$ into $x$ in the original equation
$- 6 \left(- 4\right) - 7 = - 1 \left[- 9 + 2 \left(- 4\right)\right]$
$24 - 7 = - 1 \left(- 9 - 8\right)$
$17 = - 1 \left(- 17\right)$
$17 = 17$