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

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:

$9 \left(x + 2\right) = 5 \left[11 - 2 \left(2 - x\right) + 3\right]$

Expand and Simplify Both Sides (Following Bedmas)

$9 x + 18 = 5 \left[11 - 4 + 2 x + 3\right]$

$9 x + 18 = 5 \left[10 + 2 x\right]$

$9 x + 18 = 50 + 10 x$

Isolate for $x$

$18 - 50 = 10 x - 9 x$

$- 32 = x$