# How do you solve 5(x+4)=4x+15?

May 23, 2018

$x = - 5$

#### Explanation:

First, use the distributive property shown below to simplify $5 \left(x + 4\right)$:

Following this image, we know that:
$5 \left(x + 4\right) = \left(5 \cdot x\right) + \left(5 \cdot 4\right) = 5 x + 20$

Put that back into the equation:
$5 x + 20 = 4 x + 15$

Now subtract $\textcolor{b l u e}{4 x}$ from both sides of the equation:
$5 x + 20 \quad \textcolor{b l u e}{- \quad 4 x} = 15 \quad \textcolor{b l u e}{- \quad 15}$

$x + 20 = 15$

Now subtract $\textcolor{b l u e}{20}$ from both sides of the equation:
$x + 20 \quad \textcolor{b l u e}{- \quad 20} = 15 \quad \textcolor{b l u e}{- \quad 20}$

$x = - 5$

Hope this helps!