-(4x-4)-(10x-5)+6=-8(x-1)-(9x+8)+3

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Solution for -(4x-4)-(10x-5)+6=-8(x-1)-(9x+8)+3 equation: 


Simplifying
-1(4x + -4) + -1(10x + -5) + 6 = -8(x + -1) + -1(9x + 8) + 3

Reorder the terms:
-1(-4 + 4x) + -1(10x + -5) + 6 = -8(x + -1) + -1(9x + 8) + 3
(-4 * -1 + 4x * -1) + -1(10x + -5) + 6 = -8(x + -1) + -1(9x + 8) + 3
(4 + -4x) + -1(10x + -5) + 6 = -8(x + -1) + -1(9x + 8) + 3

Reorder the terms:
4 + -4x + -1(-5 + 10x) + 6 = -8(x + -1) + -1(9x + 8) + 3
4 + -4x + (-5 * -1 + 10x * -1) + 6 = -8(x + -1) + -1(9x + 8) + 3
4 + -4x + (5 + -10x) + 6 = -8(x + -1) + -1(9x + 8) + 3

Reorder the terms:
4 + 5 + 6 + -4x + -10x = -8(x + -1) + -1(9x + 8) + 3

Combine like terms: 4 + 5 = 9
9 + 6 + -4x + -10x = -8(x + -1) + -1(9x + 8) + 3

Combine like terms: 9 + 6 = 15
15 + -4x + -10x = -8(x + -1) + -1(9x + 8) + 3

Combine like terms: -4x + -10x = -14x
15 + -14x = -8(x + -1) + -1(9x + 8) + 3

Reorder the terms:
15 + -14x = -8(-1 + x) + -1(9x + 8) + 3
15 + -14x = (-1 * -8 + x * -8) + -1(9x + 8) + 3
15 + -14x = (8 + -8x) + -1(9x + 8) + 3

Reorder the terms:
15 + -14x = 8 + -8x + -1(8 + 9x) + 3
15 + -14x = 8 + -8x + (8 * -1 + 9x * -1) + 3
15 + -14x = 8 + -8x + (-8 + -9x) + 3

Reorder the terms:
15 + -14x = 8 + -8 + 3 + -8x + -9x

Combine like terms: 8 + -8 = 0
15 + -14x = 0 + 3 + -8x + -9x
15 + -14x = 3 + -8x + -9x

Combine like terms: -8x + -9x = -17x
15 + -14x = 3 + -17x

Solving
15 + -14x = 3 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
15 + -14x + 17x = 3 + -17x + 17x

Combine like terms: -14x + 17x = 3x
15 + 3x = 3 + -17x + 17x

Combine like terms: -17x + 17x = 0
15 + 3x = 3 + 0
15 + 3x = 3

Add '-15' to each side of the equation.
15 + -15 + 3x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 3 + -15
3x = 3 + -15

Combine like terms: 3 + -15 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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