How do you simplify 2(x+3y) -4x?

Jun 16, 2018

See a solution process below:

Explanation:

First, expand the term in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

$\textcolor{red}{2} \left(x + 3 y\right) - 4 x \implies$

$\left(\textcolor{red}{2} \times x\right) + \left(\textcolor{red}{2} \times 3 y\right) - 4 x \implies$

$2 x + 6 y - 4 x$

Next, group like terms:

$2 x - 4 x + 6 y$

Now, combine like terms:

$\left(2 - 4\right) x + 6 y$

$- 2 x + 6 y$