5x-3(-2(x+22))=(-5(2x-7)-3(x+8))+19

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Solution for 5x-3(-2(x+22))=(-5(2x-7)-3(x+8))+19 equation: 


Simplifying
5x + -3(-2(x + 22)) = (-5(2x + -7) + -3(x + 8)) + 19

Reorder the terms:
5x + -3(-2(22 + x)) = (-5(2x + -7) + -3(x + 8)) + 19
5x + -3((22 * -2 + x * -2)) = (-5(2x + -7) + -3(x + 8)) + 19
5x + -3((-44 + -2x)) = (-5(2x + -7) + -3(x + 8)) + 19
5x + (-44 * -3 + -2x * -3) = (-5(2x + -7) + -3(x + 8)) + 19
5x + (132 + 6x) = (-5(2x + -7) + -3(x + 8)) + 19

Reorder the terms:
132 + 5x + 6x = (-5(2x + -7) + -3(x + 8)) + 19

Combine like terms: 5x + 6x = 11x
132 + 11x = (-5(2x + -7) + -3(x + 8)) + 19

Reorder the terms:
132 + 11x = (-5(-7 + 2x) + -3(x + 8)) + 19
132 + 11x = ((-7 * -5 + 2x * -5) + -3(x + 8)) + 19
132 + 11x = ((35 + -10x) + -3(x + 8)) + 19

Reorder the terms:
132 + 11x = (35 + -10x + -3(8 + x)) + 19
132 + 11x = (35 + -10x + (8 * -3 + x * -3)) + 19
132 + 11x = (35 + -10x + (-24 + -3x)) + 19

Reorder the terms:
132 + 11x = (35 + -24 + -10x + -3x) + 19

Combine like terms: 35 + -24 = 11
132 + 11x = (11 + -10x + -3x) + 19

Combine like terms: -10x + -3x = -13x
132 + 11x = (11 + -13x) + 19

Remove parenthesis around (11 + -13x)
132 + 11x = 11 + -13x + 19

Reorder the terms:
132 + 11x = 11 + 19 + -13x

Combine like terms: 11 + 19 = 30
132 + 11x = 30 + -13x

Solving
132 + 11x = 30 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
132 + 11x + 13x = 30 + -13x + 13x

Combine like terms: 11x + 13x = 24x
132 + 24x = 30 + -13x + 13x

Combine like terms: -13x + 13x = 0
132 + 24x = 30 + 0
132 + 24x = 30

Add '-132' to each side of the equation.
132 + -132 + 24x = 30 + -132

Combine like terms: 132 + -132 = 0
0 + 24x = 30 + -132
24x = 30 + -132

Combine like terms: 30 + -132 = -102
24x = -102

Divide each side by '24'.
x = -4.25

Simplifying
x = -4.25

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