# How do you solve 4(x-1)+3=18?

Jan 7, 2017

See entire solution process below:

#### Explanation:

First, expand the terms within the parenthesis by multiplying each of the them by the term outside the parenthesis - $\textcolor{red}{4}$:

$\textcolor{red}{4} \left(x - 1\right) + 3 = 18$

$\left(\textcolor{red}{4} \times x\right) - \left(\textcolor{red}{4} \times 1\right) + 3 = 18$

$4 x - 4 + 3 = 18$

We can now add the constants on the left side of the equation:

$4 x - 1 = 18$

Next, we can add $\textcolor{red}{1}$ to each side of the equation to isolate the $x$ term while keeping the equation balanced:

$4 x - 1 + \textcolor{red}{1} = 18 + \textcolor{red}{1}$

$4 x - 0 = 19$

$4 x = 19$

Now we can divide each side of the equation by $\textcolor{red}{4}$ to solve for $x$

$\frac{4 x}{\textcolor{red}{4}} = \frac{19}{\textcolor{red}{4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} x}{\cancel{\textcolor{red}{4}}} = \frac{19}{4}$

$x = \frac{19}{4}$