-(4x-3)-(2x-6)+4=-5(x-1)-(4x+4)+3

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Solution for -(4x-3)-(2x-6)+4=-5(x-1)-(4x+4)+3 equation: 


Simplifying
-1(4x + -3) + -1(2x + -6) + 4 = -5(x + -1) + -1(4x + 4) + 3

Reorder the terms:
-1(-3 + 4x) + -1(2x + -6) + 4 = -5(x + -1) + -1(4x + 4) + 3
(-3 * -1 + 4x * -1) + -1(2x + -6) + 4 = -5(x + -1) + -1(4x + 4) + 3
(3 + -4x) + -1(2x + -6) + 4 = -5(x + -1) + -1(4x + 4) + 3

Reorder the terms:
3 + -4x + -1(-6 + 2x) + 4 = -5(x + -1) + -1(4x + 4) + 3
3 + -4x + (-6 * -1 + 2x * -1) + 4 = -5(x + -1) + -1(4x + 4) + 3
3 + -4x + (6 + -2x) + 4 = -5(x + -1) + -1(4x + 4) + 3

Reorder the terms:
3 + 6 + 4 + -4x + -2x = -5(x + -1) + -1(4x + 4) + 3

Combine like terms: 3 + 6 = 9
9 + 4 + -4x + -2x = -5(x + -1) + -1(4x + 4) + 3

Combine like terms: 9 + 4 = 13
13 + -4x + -2x = -5(x + -1) + -1(4x + 4) + 3

Combine like terms: -4x + -2x = -6x
13 + -6x = -5(x + -1) + -1(4x + 4) + 3

Reorder the terms:
13 + -6x = -5(-1 + x) + -1(4x + 4) + 3
13 + -6x = (-1 * -5 + x * -5) + -1(4x + 4) + 3
13 + -6x = (5 + -5x) + -1(4x + 4) + 3

Reorder the terms:
13 + -6x = 5 + -5x + -1(4 + 4x) + 3
13 + -6x = 5 + -5x + (4 * -1 + 4x * -1) + 3
13 + -6x = 5 + -5x + (-4 + -4x) + 3

Reorder the terms:
13 + -6x = 5 + -4 + 3 + -5x + -4x

Combine like terms: 5 + -4 = 1
13 + -6x = 1 + 3 + -5x + -4x

Combine like terms: 1 + 3 = 4
13 + -6x = 4 + -5x + -4x

Combine like terms: -5x + -4x = -9x
13 + -6x = 4 + -9x

Solving
13 + -6x = 4 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
13 + -6x + 9x = 4 + -9x + 9x

Combine like terms: -6x + 9x = 3x
13 + 3x = 4 + -9x + 9x

Combine like terms: -9x + 9x = 0
13 + 3x = 4 + 0
13 + 3x = 4

Add '-13' to each side of the equation.
13 + -13 + 3x = 4 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 4 + -13
3x = 4 + -13

Combine like terms: 4 + -13 = -9
3x = -9

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

Simplifying
x = -3

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