How do you solve x - 5(x + 2) = x + 3(3 - 2x)?

May 20, 2018

$x = 19$

Explanation:

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

$x - 5 x - 10 = x + 9 - 6 x$ --- use distributive property.

$- 4 x - 10 = 9 - 5 x$ --- combine like terms

$5 x - 4 x - 10 = 9 - 5 x + 5 x$ --- add $5 x$ to both sides

$x - 10 = 9$

$x - 10 + 10 = 9 + 10$ --- add $10$ to both sides

$x = 19$