# How do you simplify the expression 2 - 8(-7 + x)+ 5x?

Apr 6, 2018

$58 - 3 x$

#### Explanation:

$2 - 8 \left(- 7 + x\right) + 5 x$

$= 2 + 56 - 8 x + 5 x$ expand brackets

$= 58 - 3 x$ collect like terms

Apr 6, 2018

$- 3 x + 58$

#### Explanation:

First, we use the distributive property to multiply/expand $- 8 \left(- 7 + x\right)$:
$- 8 \cdot - 7 = 56$
$- 8 \cdot x = - 8 x$

Now let's put that back into the expression:
$2 + 56 - 8 x + 5 x$

Now we can simplify by combining like terms:
$58 - 3 x$

We usually write expressions with the variable first, so I'm going to rewrite it that way:
$- 3 x + 58$

Hope this helps!