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

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


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

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

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

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

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

Reorder the terms:
12 + 11x = 5(35 + -10x + -3(8 + x)) + 19
12 + 11x = 5(35 + -10x + (8 * -3 + x * -3)) + 19
12 + 11x = 5(35 + -10x + (-24 + -3x)) + 19

Reorder the terms:
12 + 11x = 5(35 + -24 + -10x + -3x) + 19

Combine like terms: 35 + -24 = 11
12 + 11x = 5(11 + -10x + -3x) + 19

Combine like terms: -10x + -3x = -13x
12 + 11x = 5(11 + -13x) + 19
12 + 11x = (11 * 5 + -13x * 5) + 19
12 + 11x = (55 + -65x) + 19

Reorder the terms:
12 + 11x = 55 + 19 + -65x

Combine like terms: 55 + 19 = 74
12 + 11x = 74 + -65x

Solving
12 + 11x = 74 + -65x

Solving for variable 'x'.

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

Add '65x' to each side of the equation.
12 + 11x + 65x = 74 + -65x + 65x

Combine like terms: 11x + 65x = 76x
12 + 76x = 74 + -65x + 65x

Combine like terms: -65x + 65x = 0
12 + 76x = 74 + 0
12 + 76x = 74

Add '-12' to each side of the equation.
12 + -12 + 76x = 74 + -12

Combine like terms: 12 + -12 = 0
0 + 76x = 74 + -12
76x = 74 + -12

Combine like terms: 74 + -12 = 62
76x = 62

Divide each side by '76'.
x = 0.8157894737

Simplifying
x = 0.8157894737

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