-(x+4)-(13-4x)=3(x-4)-5(8+x)

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Solution for -(x+4)-(13-4x)=3(x-4)-5(8+x) equation: 


Simplifying
-1(x + 4) + -1(13 + -4x) = 3(x + -4) + -5(8 + x)

Reorder the terms:
-1(4 + x) + -1(13 + -4x) = 3(x + -4) + -5(8 + x)
(4 * -1 + x * -1) + -1(13 + -4x) = 3(x + -4) + -5(8 + x)
(-4 + -1x) + -1(13 + -4x) = 3(x + -4) + -5(8 + x)
-4 + -1x + (13 * -1 + -4x * -1) = 3(x + -4) + -5(8 + x)
-4 + -1x + (-13 + 4x) = 3(x + -4) + -5(8 + x)

Reorder the terms:
-4 + -13 + -1x + 4x = 3(x + -4) + -5(8 + x)

Combine like terms: -4 + -13 = -17
-17 + -1x + 4x = 3(x + -4) + -5(8 + x)

Combine like terms: -1x + 4x = 3x
-17 + 3x = 3(x + -4) + -5(8 + x)

Reorder the terms:
-17 + 3x = 3(-4 + x) + -5(8 + x)
-17 + 3x = (-4 * 3 + x * 3) + -5(8 + x)
-17 + 3x = (-12 + 3x) + -5(8 + x)
-17 + 3x = -12 + 3x + (8 * -5 + x * -5)
-17 + 3x = -12 + 3x + (-40 + -5x)

Reorder the terms:
-17 + 3x = -12 + -40 + 3x + -5x

Combine like terms: -12 + -40 = -52
-17 + 3x = -52 + 3x + -5x

Combine like terms: 3x + -5x = -2x
-17 + 3x = -52 + -2x

Solving
-17 + 3x = -52 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-17 + 3x + 2x = -52 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-17 + 5x = -52 + -2x + 2x

Combine like terms: -2x + 2x = 0
-17 + 5x = -52 + 0
-17 + 5x = -52

Add '17' to each side of the equation.
-17 + 17 + 5x = -52 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = -52 + 17
5x = -52 + 17

Combine like terms: -52 + 17 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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