# How do you solve 187=19+7(13-x)?

Mar 16, 2017

See the entire solution process below:

#### Explanation:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

$187 = 19 + \textcolor{red}{7} \left(13 - x\right)$

$187 = 19 + \left(\textcolor{red}{7} \times 13\right) - \left(\textcolor{red}{7} \times x\right)$

$187 = 19 + 91 - 7 x$

$187 = 110 - 7 x$

Next, subtract $\textcolor{red}{110}$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:

$- \textcolor{red}{110} + 187 = - \textcolor{red}{110} + 110 - 7 x$

$77 = 0 - 7 x$

$77 = - 7 x$

Now, divide each side of the equation by $\textcolor{red}{- 7}$ to solve for $x$ while keeping the equation balanced:

$\frac{77}{\textcolor{red}{- 7}} = \frac{- 7 x}{\textcolor{red}{- 7}}$

$- 11 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 7}}} x}{\cancel{\textcolor{red}{- 7}}}$

$- 11 = x$

$x = - 11$