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

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


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

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

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

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

Combine like terms: 6 + 6 = 12
12 + 5 + -4x + -2x = -5(x + -1) + -1(2x + 6) + 3

Combine like terms: 12 + 5 = 17
17 + -4x + -2x = -5(x + -1) + -1(2x + 6) + 3

Combine like terms: -4x + -2x = -6x
17 + -6x = -5(x + -1) + -1(2x + 6) + 3

Reorder the terms:
17 + -6x = -5(-1 + x) + -1(2x + 6) + 3
17 + -6x = (-1 * -5 + x * -5) + -1(2x + 6) + 3
17 + -6x = (5 + -5x) + -1(2x + 6) + 3

Reorder the terms:
17 + -6x = 5 + -5x + -1(6 + 2x) + 3
17 + -6x = 5 + -5x + (6 * -1 + 2x * -1) + 3
17 + -6x = 5 + -5x + (-6 + -2x) + 3

Reorder the terms:
17 + -6x = 5 + -6 + 3 + -5x + -2x

Combine like terms: 5 + -6 = -1
17 + -6x = -1 + 3 + -5x + -2x

Combine like terms: -1 + 3 = 2
17 + -6x = 2 + -5x + -2x

Combine like terms: -5x + -2x = -7x
17 + -6x = 2 + -7x

Solving
17 + -6x = 2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
17 + -6x + 7x = 2 + -7x + 7x

Combine like terms: -6x + 7x = 1x
17 + 1x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
17 + 1x = 2 + 0
17 + 1x = 2

Add '-17' to each side of the equation.
17 + -17 + 1x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 2 + -17
1x = 2 + -17

Combine like terms: 2 + -17 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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