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

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


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

Reorder the terms:
5x + -3(-2(2 + x)) = (-5(2x + -7) + -3(x + 8)) + 19
5x + -3((2 * -2 + x * -2)) = (-5(2x + -7) + -3(x + 8)) + 19
5x + -3((-4 + -2x)) = (-5(2x + -7) + -3(x + 8)) + 19
5x + (-4 * -3 + -2x * -3) = (-5(2x + -7) + -3(x + 8)) + 19
5x + (12 + 6x) = (-5(2x + -7) + -3(x + 8)) + 19

Reorder the terms:
12 + 5x + 6x = (-5(2x + -7) + -3(x + 8)) + 19

Combine like terms: 5x + 6x = 11x
12 + 11x = (-5(2x + -7) + -3(x + 8)) + 19

Reorder the terms:
12 + 11x = (-5(-7 + 2x) + -3(x + 8)) + 19
12 + 11x = ((-7 * -5 + 2x * -5) + -3(x + 8)) + 19
12 + 11x = ((35 + -10x) + -3(x + 8)) + 19

Reorder the terms:
12 + 11x = (35 + -10x + -3(8 + x)) + 19
12 + 11x = (35 + -10x + (8 * -3 + x * -3)) + 19
12 + 11x = (35 + -10x + (-24 + -3x)) + 19

Reorder the terms:
12 + 11x = (35 + -24 + -10x + -3x) + 19

Combine like terms: 35 + -24 = 11
12 + 11x = (11 + -10x + -3x) + 19

Combine like terms: -10x + -3x = -13x
12 + 11x = (11 + -13x) + 19

Remove parenthesis around (11 + -13x)
12 + 11x = 11 + -13x + 19

Reorder the terms:
12 + 11x = 11 + 19 + -13x

Combine like terms: 11 + 19 = 30
12 + 11x = 30 + -13x

Solving
12 + 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.
12 + 11x + 13x = 30 + -13x + 13x

Combine like terms: 11x + 13x = 24x
12 + 24x = 30 + -13x + 13x

Combine like terms: -13x + 13x = 0
12 + 24x = 30 + 0
12 + 24x = 30

Add '-12' to each side of the equation.
12 + -12 + 24x = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 24x = 30 + -12
24x = 30 + -12

Combine like terms: 30 + -12 = 18
24x = 18

Divide each side by '24'.
x = 0.75

Simplifying
x = 0.75

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