# How do you solve 35=-5+2x-7x?

May 30, 2018

See a solution process below:

#### Explanation:

First, add $\textcolor{red}{5}$ to isolate the $x$ terms while keeping the equation balanced:

$35 + \textcolor{red}{5} = - 5 + \textcolor{red}{5} + 2 x - 7 x$

$40 = 0 + 2 x - 7 x$

$40 = 2 x - 7 x$

Next, combine the terms on the right side of the equation:

$40 = \left(2 - 7\right) x$

$40 = - 5 x$

Now, divide each side of the equation by $\textcolor{red}{- 5}$ to solve for $x$ while keeping the equation balanced:

$\frac{40}{\textcolor{red}{- 5}} = \frac{- 5 x}{\textcolor{red}{- 5}}$

$- 8 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 5}}} x}{\cancel{\textcolor{red}{- 5}}}$

$- 8 = x$

$x = - 8$