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

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Solution for 9(x+2)=5[11-2(2-x)+3] equation: 


Simplifying
9(x + 2) = 5[11 + -2(2 + -1x) + 3]

Reorder the terms:
9(2 + x) = 5[11 + -2(2 + -1x) + 3]
(2 * 9 + x * 9) = 5[11 + -2(2 + -1x) + 3]
(18 + 9x) = 5[11 + -2(2 + -1x) + 3]
18 + 9x = 5[11 + (2 * -2 + -1x * -2) + 3]
18 + 9x = 5[11 + (-4 + 2x) + 3]

Reorder the terms:
18 + 9x = 5[11 + -4 + 3 + 2x]

Combine like terms: 11 + -4 = 7
18 + 9x = 5[7 + 3 + 2x]

Combine like terms: 7 + 3 = 10
18 + 9x = 5[10 + 2x]
18 + 9x = [10 * 5 + 2x * 5]
18 + 9x = [50 + 10x]

Solving
18 + 9x = 50 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
18 + 9x + -10x = 50 + 10x + -10x

Combine like terms: 9x + -10x = -1x
18 + -1x = 50 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -1x = 50 + 0
18 + -1x = 50

Add '-18' to each side of the equation.
18 + -18 + -1x = 50 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 50 + -18
-1x = 50 + -18

Combine like terms: 50 + -18 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32

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