# How do you solve -1+ 7x = 8x - 2?

Sep 21, 2017

$x = 1$

#### Explanation:

$- 1 + 7 x = 8 x - 2$
I always make sure I put the variable in front to lead the equation. So here it is..
$7 x - 1 = 8 x - 2$
Next, subtract $\textcolor{red}{8 x}$ from both sides
$7 x - 1 \textcolor{red}{- 8 x} = 8 x - 2 \textcolor{red}{- 8 x}$
$- x - 1 = - 2$
Then transfer $- 1$ to the right side to match the its common term.
$- x = - 2 + 1$
$- x = - 1$
Finally, divide both sides by $- 1$
(-x)/(-1) = (-1)/(-1
$x = 1$