-(3x-3)-(10x-6)+8=-4(x-1)-(14x+5)+3

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Solution for -(3x-3)-(10x-6)+8=-4(x-1)-(14x+5)+3 equation: 


Simplifying
-1(3x + -3) + -1(10x + -6) + 8 = -4(x + -1) + -1(14x + 5) + 3

Reorder the terms:
-1(-3 + 3x) + -1(10x + -6) + 8 = -4(x + -1) + -1(14x + 5) + 3
(-3 * -1 + 3x * -1) + -1(10x + -6) + 8 = -4(x + -1) + -1(14x + 5) + 3
(3 + -3x) + -1(10x + -6) + 8 = -4(x + -1) + -1(14x + 5) + 3

Reorder the terms:
3 + -3x + -1(-6 + 10x) + 8 = -4(x + -1) + -1(14x + 5) + 3
3 + -3x + (-6 * -1 + 10x * -1) + 8 = -4(x + -1) + -1(14x + 5) + 3
3 + -3x + (6 + -10x) + 8 = -4(x + -1) + -1(14x + 5) + 3

Reorder the terms:
3 + 6 + 8 + -3x + -10x = -4(x + -1) + -1(14x + 5) + 3

Combine like terms: 3 + 6 = 9
9 + 8 + -3x + -10x = -4(x + -1) + -1(14x + 5) + 3

Combine like terms: 9 + 8 = 17
17 + -3x + -10x = -4(x + -1) + -1(14x + 5) + 3

Combine like terms: -3x + -10x = -13x
17 + -13x = -4(x + -1) + -1(14x + 5) + 3

Reorder the terms:
17 + -13x = -4(-1 + x) + -1(14x + 5) + 3
17 + -13x = (-1 * -4 + x * -4) + -1(14x + 5) + 3
17 + -13x = (4 + -4x) + -1(14x + 5) + 3

Reorder the terms:
17 + -13x = 4 + -4x + -1(5 + 14x) + 3
17 + -13x = 4 + -4x + (5 * -1 + 14x * -1) + 3
17 + -13x = 4 + -4x + (-5 + -14x) + 3

Reorder the terms:
17 + -13x = 4 + -5 + 3 + -4x + -14x

Combine like terms: 4 + -5 = -1
17 + -13x = -1 + 3 + -4x + -14x

Combine like terms: -1 + 3 = 2
17 + -13x = 2 + -4x + -14x

Combine like terms: -4x + -14x = -18x
17 + -13x = 2 + -18x

Solving
17 + -13x = 2 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
17 + -13x + 18x = 2 + -18x + 18x

Combine like terms: -13x + 18x = 5x
17 + 5x = 2 + -18x + 18x

Combine like terms: -18x + 18x = 0
17 + 5x = 2 + 0
17 + 5x = 2

Add '-17' to each side of the equation.
17 + -17 + 5x = 2 + -17

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

Combine like terms: 2 + -17 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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