# How do you solve 3.56x+2.43=6.17x-11.40?

Dec 19, 2016

$x = \frac{13.83}{2.61}$

or

$x = 5.30$ rounded to the nearest one-hundredth

#### Explanation:

First, isolate the $x$ terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

$3.56 x + 2.43 \textcolor{red}{- 3.56 x + 11.40} = 6.17 x - 11.40 \textcolor{red}{- 3.56 x + 11.40}$

$3.56 x - 3.56 x + 2.43 + 11.40 = 6.17 x - 3.56 x - 11.40 + 11.40$

$0 + 2.43 + 11.40 = 6.17 x - 3.56 x - 0$

$2.43 + 11.40 = 6.17 x - 3.56 x$

$13.83 = \left(6.17 - 3.56\right) x$

$13.83 = 2.61 x$

Now we can solve for $x$ while keeping the equation balanced:

$\frac{13.83}{\textcolor{red}{2.61}} = \frac{2.61 x}{\textcolor{red}{2.61}}$

$\frac{13.83}{2.61} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2.61}}} x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2.61}}}}$

$x = \frac{13.83}{2.61}$