# How do you solve 3x-7=2x+1?

Jan 2, 2017

See full explanation below

#### Explanation:

Step 1) Add and subtract the necessary values to each side of the equation to 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:

$3 x - 7 - \textcolor{red}{2 x} + \textcolor{b l u e}{7} = 2 x + 1 - \textcolor{red}{2 x} + \textcolor{b l u e}{7}$

Next group the like terms and then combine the like terms:

$3 x - \textcolor{red}{2 x} - 7 + \textcolor{b l u e}{7} = 2 x - \textcolor{red}{2 x} + 1 + \textcolor{b l u e}{7}$

$3 x - \textcolor{red}{2 x} - 0 = 0 + 1 + \textcolor{b l u e}{7}$

$\left(3 - 2\right) x = 8$

$1 x = 8$

$x = 8$