# How do you solve 7= 2- 3+ 4x?

##### 1 Answer
May 2, 2018

$x = 2$

#### Explanation:

First, combine the like terms on the right side:

$7 = \textcolor{red}{2} - \textcolor{red}{3} + 4 x$

$2$ minus $3$ is $- 1$.

$7 = - 1 + 4 x$

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Next, add $\textcolor{b l u e}{1}$ to both sides to get rid of the $- 1$ on the right side.

$7 + \textcolor{b l u e}{1} = - 1 + 4 x + \textcolor{b l u e}{1}$

$7 + \textcolor{b l u e}{1} = \cancel{- 1} + 4 x + \cancel{\textcolor{b l u e}{1}}$

$8 = 4 x$

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Finally, divide both sides by $\textcolor{\mathmr{and} a n \ge}{4}$ to get $x$ on a side by itself.

$\frac{8}{\textcolor{\mathmr{and} a n \ge}{4}} = \frac{4 x}{\textcolor{\mathmr{and} a n \ge}{4}}$

$\frac{8}{\textcolor{\mathmr{and} a n \ge}{4}} = \frac{\cancel{4} x}{\cancel{\textcolor{\mathmr{and} a n \ge}{4}}}$

$2 = x$

Final Answer