# How do you solve 4x=-14?

Apr 3, 2018

Use division such that $x$ is alone on one side of the equation, and you will find that $x = - \frac{7}{2} = - 3.5$

#### Explanation:

To solve for $x$, we will divide both sides of the equation by a constant value. This will bring both sides of the equation down by an equal amount, and $x$ will ideally be alone on the Left-Hand Side (LHS).

In the problem statement, $x$ is multiplied by 4. Therefore, we should divide both sides by 4 to get $x$ alone on the LHS:

$\frac{\cancel{4} x}{\cancel{\textcolor{red}{4}}} = \frac{- 14}{\textcolor{red}{4}}$

$\Rightarrow x = \frac{- 14}{4}$

Now, we can simplify the fraction on the Right-Hand Side (RHS) to get our answer:

$\textcolor{g r e e n}{x = - \frac{7}{2} = - 3.5}$