How do you solve 9(x+2)= 5[11-2(2-x)+3]?

2 Answers
Apr 4, 2018

color(maroon)(x = - 32

Explanation:

9(x+20 = 5 [11 - 2(2 -x) + 3]

9(x+2) = 5 * 11 - 5 * 2 * (2 - x) + 5 * 3, color(blue)(" removing [ ] bracket"

9x + 18 = 55 - 20 + 10x + 15, color(green)(" Removing () braces "

9x - 10x = 55 - 20 + 15 - 18. color(crimson)(" bringing like terms together"

-x = 70 - 38 = 32

color(maroon)(x = - 32

Apr 4, 2018

x = -32

Explanation:

9(x+2) = 5[11-2(2-x)+3]

Expand and Simplify Both Sides (Following Bedmas)

9x+18 = 5[11-4+2x+3]

9x+18 = 5[10+2x]

9x+18 = 50+10x

Isolate for x

18 - 50 = 10x - 9x

-32 = x