# How do you multiply 2x + 3y + 2(x - y) - 3x?

Apr 10, 2017

See the entire solution process below:

#### Explanation:

First, multiply each term inside the parenthesis by the term outside the parenthesis:

$2 x + 3 y + \textcolor{red}{2} \left(x - y\right) - 3 x \to 2 x + 3 y + \left(\textcolor{red}{2} \times x\right) - \left(\textcolor{red}{2} \times y\right) - 3 x \to 2 x + 3 y + 2 x - 2 y - 3 x$

Next, group like terms:

$2 x + 2 x - 3 x + 3 y - 2 y$

Now, combine like terms:

$\left(2 + 2 - 3\right) x + \left(3 - 2\right) y$

$1 x + 1 y$

$x + y$