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

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


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

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

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

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

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

Combine like terms: 8 + 5 = 13
13 + -3x + -3x = -4(x + -1) + -1(5x + 3) + 3

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

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

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

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

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

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

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