# How do you solve 3x + 8 = 5x – 20?

Aug 1, 2015

By performing the same basic arithmetic operations on both sides of the given equation we can isolate $x$ on one side and a constant on the other to get:$\textcolor{w h i t e}{\text{XXXX}}$$x = 14$

#### Explanation:

Given $3 x + 8 = 5 x - 20$

We can get rid of the $x$ term on the right side by subtracting $5 x$ from both sides:
$\textcolor{w h i t e}{\text{XXXX}}$$- 2 x + 8 = - 20$

Now by subtracting $8$ from both sides we can isolate the constant term(s) to the left side
$\textcolor{w h i t e}{\text{XXXX}}$$- 2 x = - 28$

Finally by dividing both sides by $\left(- 2\right)$ we can reduce the equation to one with only a simple $x$ on the left side
$\textcolor{w h i t e}{\text{XXXX}}$$x = 14$