-(4x-5)-(7x-6)+8=-6(x-1)-(10x+5)+3

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Solution for -(4x-5)-(7x-6)+8=-6(x-1)-(10x+5)+3 equation: 


Simplifying
-1(4x + -5) + -1(7x + -6) + 8 = -6(x + -1) + -1(10x + 5) + 3

Reorder the terms:
-1(-5 + 4x) + -1(7x + -6) + 8 = -6(x + -1) + -1(10x + 5) + 3
(-5 * -1 + 4x * -1) + -1(7x + -6) + 8 = -6(x + -1) + -1(10x + 5) + 3
(5 + -4x) + -1(7x + -6) + 8 = -6(x + -1) + -1(10x + 5) + 3

Reorder the terms:
5 + -4x + -1(-6 + 7x) + 8 = -6(x + -1) + -1(10x + 5) + 3
5 + -4x + (-6 * -1 + 7x * -1) + 8 = -6(x + -1) + -1(10x + 5) + 3
5 + -4x + (6 + -7x) + 8 = -6(x + -1) + -1(10x + 5) + 3

Reorder the terms:
5 + 6 + 8 + -4x + -7x = -6(x + -1) + -1(10x + 5) + 3

Combine like terms: 5 + 6 = 11
11 + 8 + -4x + -7x = -6(x + -1) + -1(10x + 5) + 3

Combine like terms: 11 + 8 = 19
19 + -4x + -7x = -6(x + -1) + -1(10x + 5) + 3

Combine like terms: -4x + -7x = -11x
19 + -11x = -6(x + -1) + -1(10x + 5) + 3

Reorder the terms:
19 + -11x = -6(-1 + x) + -1(10x + 5) + 3
19 + -11x = (-1 * -6 + x * -6) + -1(10x + 5) + 3
19 + -11x = (6 + -6x) + -1(10x + 5) + 3

Reorder the terms:
19 + -11x = 6 + -6x + -1(5 + 10x) + 3
19 + -11x = 6 + -6x + (5 * -1 + 10x * -1) + 3
19 + -11x = 6 + -6x + (-5 + -10x) + 3

Reorder the terms:
19 + -11x = 6 + -5 + 3 + -6x + -10x

Combine like terms: 6 + -5 = 1
19 + -11x = 1 + 3 + -6x + -10x

Combine like terms: 1 + 3 = 4
19 + -11x = 4 + -6x + -10x

Combine like terms: -6x + -10x = -16x
19 + -11x = 4 + -16x

Solving
19 + -11x = 4 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
19 + -11x + 16x = 4 + -16x + 16x

Combine like terms: -11x + 16x = 5x
19 + 5x = 4 + -16x + 16x

Combine like terms: -16x + 16x = 0
19 + 5x = 4 + 0
19 + 5x = 4

Add '-19' to each side of the equation.
19 + -19 + 5x = 4 + -19

Combine like terms: 19 + -19 = 0
0 + 5x = 4 + -19
5x = 4 + -19

Combine like terms: 4 + -19 = -15
5x = -15

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

Simplifying
x = -3

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