-(3x-5)-(5x-2)+4=-8(x-4)-(3x+4)+4

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Solution for -(3x-5)-(5x-2)+4=-8(x-4)-(3x+4)+4 equation: 


Simplifying
-1(3x + -5) + -1(5x + -2) + 4 = -8(x + -4) + -1(3x + 4) + 4

Reorder the terms:
-1(-5 + 3x) + -1(5x + -2) + 4 = -8(x + -4) + -1(3x + 4) + 4
(-5 * -1 + 3x * -1) + -1(5x + -2) + 4 = -8(x + -4) + -1(3x + 4) + 4
(5 + -3x) + -1(5x + -2) + 4 = -8(x + -4) + -1(3x + 4) + 4

Reorder the terms:
5 + -3x + -1(-2 + 5x) + 4 = -8(x + -4) + -1(3x + 4) + 4
5 + -3x + (-2 * -1 + 5x * -1) + 4 = -8(x + -4) + -1(3x + 4) + 4
5 + -3x + (2 + -5x) + 4 = -8(x + -4) + -1(3x + 4) + 4

Reorder the terms:
5 + 2 + 4 + -3x + -5x = -8(x + -4) + -1(3x + 4) + 4

Combine like terms: 5 + 2 = 7
7 + 4 + -3x + -5x = -8(x + -4) + -1(3x + 4) + 4

Combine like terms: 7 + 4 = 11
11 + -3x + -5x = -8(x + -4) + -1(3x + 4) + 4

Combine like terms: -3x + -5x = -8x
11 + -8x = -8(x + -4) + -1(3x + 4) + 4

Reorder the terms:
11 + -8x = -8(-4 + x) + -1(3x + 4) + 4
11 + -8x = (-4 * -8 + x * -8) + -1(3x + 4) + 4
11 + -8x = (32 + -8x) + -1(3x + 4) + 4

Reorder the terms:
11 + -8x = 32 + -8x + -1(4 + 3x) + 4
11 + -8x = 32 + -8x + (4 * -1 + 3x * -1) + 4
11 + -8x = 32 + -8x + (-4 + -3x) + 4

Reorder the terms:
11 + -8x = 32 + -4 + 4 + -8x + -3x

Combine like terms: 32 + -4 = 28
11 + -8x = 28 + 4 + -8x + -3x

Combine like terms: 28 + 4 = 32
11 + -8x = 32 + -8x + -3x

Combine like terms: -8x + -3x = -11x
11 + -8x = 32 + -11x

Solving
11 + -8x = 32 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
11 + -8x + 11x = 32 + -11x + 11x

Combine like terms: -8x + 11x = 3x
11 + 3x = 32 + -11x + 11x

Combine like terms: -11x + 11x = 0
11 + 3x = 32 + 0
11 + 3x = 32

Add '-11' to each side of the equation.
11 + -11 + 3x = 32 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 32 + -11
3x = 32 + -11

Combine like terms: 32 + -11 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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