How do you solve 4(-8x+5)=-32x-26?

1 Answer
Feb 20, 2017

See the entire solution process below:

Explanation:

First, expand the terms within parenthesis on the left side of the equation:

$\left(4 \times - 8 x\right) + \left(4 \times 5\right) = - 32 x - 26$

$- 32 x + 20 = - 32 x - 26$

Now, add $\textcolor{red}{32 x}$ to each side of the equation:

$\textcolor{red}{32 x} - 32 x + 20 = \textcolor{red}{32 x} - 32 x - 26$

$0 + 20 = 0 - 26$

$20 \ne - 26$

Therefore there is no solution to this problem other than the null or empty set or $x = \left\{\emptyset\right\}$