# How do you simplify (5x+3y) + (8x-7y)?

Mar 3, 2018

See a solution process below:

#### Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

$5 x + 3 y + 8 x - 7 y$

Next, group like terms:

$5 x + 8 x + 3 y - 7 y$

Now, combine like terms:

$\left(5 + 8\right) x + \left(3 - 7\right) y$

$13 x + \left(- 4\right) y$

$13 x - 4 y$

$\left(5 x + 3 y\right) + \left(8 x - 7 y\right) = 13 x - 4 y$
$\left(5 x + 3 y\right) + \left(8 x - 7 y\right) = 5 x + 3 y + 8 x - 7 y$
$= \left(5 x + 8 x\right) + \left(3 y - 7 y\right) = 13 x + \left(- 4 y\right)$
$\left(5 x + 3 y\right) + \left(8 x - 7 y\right) = 13 x - 4 y$