-(3x-4)-(5x-5)+10=-10(x-1)-(2x+10)+3

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Solution for -(3x-4)-(5x-5)+10=-10(x-1)-(2x+10)+3 equation:


Simplifying
-1(3x + -4) + -1(5x + -5) + 10 = -10(x + -1) + -1(2x + 10) + 3

Reorder the terms:
-1(-4 + 3x) + -1(5x + -5) + 10 = -10(x + -1) + -1(2x + 10) + 3
(-4 * -1 + 3x * -1) + -1(5x + -5) + 10 = -10(x + -1) + -1(2x + 10) + 3
(4 + -3x) + -1(5x + -5) + 10 = -10(x + -1) + -1(2x + 10) + 3

Reorder the terms:
4 + -3x + -1(-5 + 5x) + 10 = -10(x + -1) + -1(2x + 10) + 3
4 + -3x + (-5 * -1 + 5x * -1) + 10 = -10(x + -1) + -1(2x + 10) + 3
4 + -3x + (5 + -5x) + 10 = -10(x + -1) + -1(2x + 10) + 3

Reorder the terms:
4 + 5 + 10 + -3x + -5x = -10(x + -1) + -1(2x + 10) + 3

Combine like terms: 4 + 5 = 9
9 + 10 + -3x + -5x = -10(x + -1) + -1(2x + 10) + 3

Combine like terms: 9 + 10 = 19
19 + -3x + -5x = -10(x + -1) + -1(2x + 10) + 3

Combine like terms: -3x + -5x = -8x
19 + -8x = -10(x + -1) + -1(2x + 10) + 3

Reorder the terms:
19 + -8x = -10(-1 + x) + -1(2x + 10) + 3
19 + -8x = (-1 * -10 + x * -10) + -1(2x + 10) + 3
19 + -8x = (10 + -10x) + -1(2x + 10) + 3

Reorder the terms:
19 + -8x = 10 + -10x + -1(10 + 2x) + 3
19 + -8x = 10 + -10x + (10 * -1 + 2x * -1) + 3
19 + -8x = 10 + -10x + (-10 + -2x) + 3

Reorder the terms:
19 + -8x = 10 + -10 + 3 + -10x + -2x

Combine like terms: 10 + -10 = 0
19 + -8x = 0 + 3 + -10x + -2x
19 + -8x = 3 + -10x + -2x

Combine like terms: -10x + -2x = -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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