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

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


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

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

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

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

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

Combine like terms: 9 + 4 = 13
13 + -3x + -3x = -3(x + -1) + -1(6x + 2) + 3

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

Reorder the terms:
13 + -6x = -3(-1 + x) + -1(6x + 2) + 3
13 + -6x = (-1 * -3 + x * -3) + -1(6x + 2) + 3
13 + -6x = (3 + -3x) + -1(6x + 2) + 3

Reorder the terms:
13 + -6x = 3 + -3x + -1(2 + 6x) + 3
13 + -6x = 3 + -3x + (2 * -1 + 6x * -1) + 3
13 + -6x = 3 + -3x + (-2 + -6x) + 3

Reorder the terms:
13 + -6x = 3 + -2 + 3 + -3x + -6x

Combine like terms: 3 + -2 = 1
13 + -6x = 1 + 3 + -3x + -6x

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

Combine like terms: -3x + -6x = -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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