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

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


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

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

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

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

Combine like terms: 5 + 6 = 11
11 + 5 + -2x + -3x = -5(x + -1) + -1(2x + 3) + 6

Combine like terms: 11 + 5 = 16
16 + -2x + -3x = -5(x + -1) + -1(2x + 3) + 6

Combine like terms: -2x + -3x = -5x
16 + -5x = -5(x + -1) + -1(2x + 3) + 6

Reorder the terms:
16 + -5x = -5(-1 + x) + -1(2x + 3) + 6
16 + -5x = (-1 * -5 + x * -5) + -1(2x + 3) + 6
16 + -5x = (5 + -5x) + -1(2x + 3) + 6

Reorder the terms:
16 + -5x = 5 + -5x + -1(3 + 2x) + 6
16 + -5x = 5 + -5x + (3 * -1 + 2x * -1) + 6
16 + -5x = 5 + -5x + (-3 + -2x) + 6

Reorder the terms:
16 + -5x = 5 + -3 + 6 + -5x + -2x

Combine like terms: 5 + -3 = 2
16 + -5x = 2 + 6 + -5x + -2x

Combine like terms: 2 + 6 = 8
16 + -5x = 8 + -5x + -2x

Combine like terms: -5x + -2x = -7x
16 + -5x = 8 + -7x

Solving
16 + -5x = 8 + -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.
16 + -5x + 7x = 8 + -7x + 7x

Combine like terms: -5x + 7x = 2x
16 + 2x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
16 + 2x = 8 + 0
16 + 2x = 8

Add '-16' to each side of the equation.
16 + -16 + 2x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 8 + -16
2x = 8 + -16

Combine like terms: 8 + -16 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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