Question

Expand and simplify 4(2x +7) – 3(x + 5)

Answer 1

Answer:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

Step-by-step explanation:

Given the expression

$4\left(2x+7\right)-3\left(x+5\right)$

Expand and simplify the expression

$4\left(2x+7\right)-3\left(x+5\right)$

Expand  4(2x + 7) = 8x + 28                  

$4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)$

Expand  -3(x + 5) = -3x - 15

                                 $=8x+28-3x-15$

Group like terms

                                  $=8x-3x+28-15$

Add similar elements:  8x - 3x = 5x

                                   $=5x+28-15$

Simplify

                                    $=5x+13$

Therefore, we conclude that:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$