# How do you solve 7( x - 1) + 5= - 2( 3- 4x ) + 5?

Aug 1, 2017

$x = - 1$

Refer to the explanation for the process.

#### Explanation:

Solve:

$7 \left(x - 1\right) + 5 = - 2 \left(3 - 4 x\right) + 5$

Expand.

$7 x - 7 + 5 = - 6 + 8 x + 5$

Simplify.

$7 x - 2 = - 1 + 8 x$

Subtract $7 x$ from both sides.

$- 2 = - 1 + 8 x - 7 x$

Add $1$ to both sides.

$- 2 + 1 = 8 x - 7 x$

Simplify.

$- 1 = x$

Switch sides.

$x = - 1$