# How do you solve 5x - 4= 2x - 13?

Mar 6, 2018

$x = - 3$

#### Explanation:

Step 1: Subtract $2 x$ from both sides of the equation. Thus, you have

$3 x - 4 = - 13$

Step 2: Add $4$ to both sides. You now have

$3 x = - 9$

Step 3: Multiply each side by $\frac{1}{3}$. Thus, you are left with

$x = - 3$

Mar 6, 2018

$x = - 3$

#### Explanation:

We know that if we perform the same operation on both sides of the equation, we still get an equality. We start with the equation:

$5 x - 4 = 2 x - 13$

We now try to isolate the $x$'s. That is, we want to put all the $x$'s on one side:

$5 x - 4 - 2 x = 2 x - 13 - 2 x$

Combine like terms:

$3 x - 4 = - 13$

We now add $4$ to both sides:

$3 x - 4 + 4 = - 13 + 4$

$3 x = - 9$

Finally, we divide both sides by $3$:

$\frac{3 x}{3} = \frac{- 9}{3}$

$x = - 3$