# How do you solve 19.65x+2.2(x-6.05)=255.65?

Jan 24, 2017

See the entire solution process below:

#### Explanation:

First, expand the term in parenthesis:

$19.65 x + \left(2.2 \times x\right) - \left(2.2 \times 6.05\right) = 255.65$

$19.65 x + 2.2 x - 13.31 = 255.65$

Next, combine like terms:

$\left(19.65 + 2.2\right) x - 13.31 = 255.65$

$21.85 x - 13.31 = 255.65$

Then, add $\textcolor{red}{13.31}$ to each side of the equation to isolate the $x$ term while keeping the equation balanced:

$21.85 x - 13.31 + \textcolor{red}{13.31} = 255.65 + \textcolor{red}{13.31}$

$21.85 x - 0 = 268.96$

$21.85 x = 268.96$

Now, divide each side of the equation by $\textcolor{red}{21.85}$ to solve for $x$ while keeping the equation balanced:

$\frac{21.85 x}{\textcolor{red}{21.85}} = \frac{268.96}{\textcolor{red}{21.85}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{21.85}}} x}{\cancel{\textcolor{red}{21.85}}} = 12.31$

$x = 12.31$ rounded to the nearest hundredth