# How do you solve  5[x - 4(1 - 2x) - 6] - 3(x +10) = 40x - 12?

Apr 17, 2018

x= 9

#### Explanation:

1) $5 \left[x - 4 \left(1 - 2 x\right) - 6\right] - 3 \left(x = 10\right) = 40 x - 12$
2) $5 \left[x - 4 + 8 x - 6\right] - 3 \left(x = 10\right) = 40 x - 12$ Distribute "-4"
3) $5 \left[9 x - 10\right] - 3 \left(x + 10\right) = 40 x - 12$ Simplify
4) $45 x - 50 - 3 x - 30 = 40 x - 12$ Distribute the "5" and "-3"
5) $42 x - 30 = 40 x - 12$ Simplify
6) $2 x - 30 = - 12$ Subtract 40x to both sides
7) $2 x = 18$Add 30 to both sides
8) $x = 9$ Divide both sides by 2