-(3x-4)-(5x-5)+10=-5(x-1)-(7x+5)+3

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Solution for -(3x-4)-(5x-5)+10=-5(x-1)-(7x+5)+3 equation: 


Simplifying
-1(3x + -4) + -1(5x + -5) + 10 = -5(x + -1) + -1(7x + 5) + 3

Reorder the terms:
-1(-4 + 3x) + -1(5x + -5) + 10 = -5(x + -1) + -1(7x + 5) + 3
(-4 * -1 + 3x * -1) + -1(5x + -5) + 10 = -5(x + -1) + -1(7x + 5) + 3
(4 + -3x) + -1(5x + -5) + 10 = -5(x + -1) + -1(7x + 5) + 3

Reorder the terms:
4 + -3x + -1(-5 + 5x) + 10 = -5(x + -1) + -1(7x + 5) + 3
4 + -3x + (-5 * -1 + 5x * -1) + 10 = -5(x + -1) + -1(7x + 5) + 3
4 + -3x + (5 + -5x) + 10 = -5(x + -1) + -1(7x + 5) + 3

Reorder the terms:
4 + 5 + 10 + -3x + -5x = -5(x + -1) + -1(7x + 5) + 3

Combine like terms: 4 + 5 = 9
9 + 10 + -3x + -5x = -5(x + -1) + -1(7x + 5) + 3

Combine like terms: 9 + 10 = 19
19 + -3x + -5x = -5(x + -1) + -1(7x + 5) + 3

Combine like terms: -3x + -5x = -8x
19 + -8x = -5(x + -1) + -1(7x + 5) + 3

Reorder the terms:
19 + -8x = -5(-1 + x) + -1(7x + 5) + 3
19 + -8x = (-1 * -5 + x * -5) + -1(7x + 5) + 3
19 + -8x = (5 + -5x) + -1(7x + 5) + 3

Reorder the terms:
19 + -8x = 5 + -5x + -1(5 + 7x) + 3
19 + -8x = 5 + -5x + (5 * -1 + 7x * -1) + 3
19 + -8x = 5 + -5x + (-5 + -7x) + 3

Reorder the terms:
19 + -8x = 5 + -5 + 3 + -5x + -7x

Combine like terms: 5 + -5 = 0
19 + -8x = 0 + 3 + -5x + -7x
19 + -8x = 3 + -5x + -7x

Combine like terms: -5x + -7x = -12x
19 + -8x = 3 + -12x

Solving
19 + -8x = 3 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
19 + -8x + 12x = 3 + -12x + 12x

Combine like terms: -8x + 12x = 4x
19 + 4x = 3 + -12x + 12x

Combine like terms: -12x + 12x = 0
19 + 4x = 3 + 0
19 + 4x = 3

Add '-19' to each side of the equation.
19 + -19 + 4x = 3 + -19

Combine like terms: 19 + -19 = 0
0 + 4x = 3 + -19
4x = 3 + -19

Combine like terms: 3 + -19 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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