# How do you solve 3(1+x) + 2( x - 2) = 3x + 5?

Mar 24, 2017

$x = 3$

#### Explanation:

$3 \left(1 + x\right) + 2 \left(x - 2\right) = 3 x + 5$

Simplify both sides of the equation first.

$3 + 3 x + 2 x - 4 = 3 x + 5$

$5 x - 1 = 3 x + 5$

Now group like terms by putting variables on one side. Remember when you take a figure or a term (a figure and a variable) to the left or right side, the sign changes.

$5 x - 3 x = 5 + 1$

$2 x = 6$

Solve for $x$ by dividing both sides by $2$

$\frac{\cancel{2} x}{\cancel{2}} = \frac{6}{2}$

$x = \frac{6}{2} = \frac{2 \cdot 3}{2} = \frac{\cancel{2} \cdot 3}{\cancel{2}}$

$x = 3$