-(4x-4)-(5x-6)+2=-7(x-1)-(7x+8)+3

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Solution for -(4x-4)-(5x-6)+2=-7(x-1)-(7x+8)+3 equation: 


Simplifying
-1(4x + -4) + -1(5x + -6) + 2 = -7(x + -1) + -1(7x + 8) + 3

Reorder the terms:
-1(-4 + 4x) + -1(5x + -6) + 2 = -7(x + -1) + -1(7x + 8) + 3
(-4 * -1 + 4x * -1) + -1(5x + -6) + 2 = -7(x + -1) + -1(7x + 8) + 3
(4 + -4x) + -1(5x + -6) + 2 = -7(x + -1) + -1(7x + 8) + 3

Reorder the terms:
4 + -4x + -1(-6 + 5x) + 2 = -7(x + -1) + -1(7x + 8) + 3
4 + -4x + (-6 * -1 + 5x * -1) + 2 = -7(x + -1) + -1(7x + 8) + 3
4 + -4x + (6 + -5x) + 2 = -7(x + -1) + -1(7x + 8) + 3

Reorder the terms:
4 + 6 + 2 + -4x + -5x = -7(x + -1) + -1(7x + 8) + 3

Combine like terms: 4 + 6 = 10
10 + 2 + -4x + -5x = -7(x + -1) + -1(7x + 8) + 3

Combine like terms: 10 + 2 = 12
12 + -4x + -5x = -7(x + -1) + -1(7x + 8) + 3

Combine like terms: -4x + -5x = -9x
12 + -9x = -7(x + -1) + -1(7x + 8) + 3

Reorder the terms:
12 + -9x = -7(-1 + x) + -1(7x + 8) + 3
12 + -9x = (-1 * -7 + x * -7) + -1(7x + 8) + 3
12 + -9x = (7 + -7x) + -1(7x + 8) + 3

Reorder the terms:
12 + -9x = 7 + -7x + -1(8 + 7x) + 3
12 + -9x = 7 + -7x + (8 * -1 + 7x * -1) + 3
12 + -9x = 7 + -7x + (-8 + -7x) + 3

Reorder the terms:
12 + -9x = 7 + -8 + 3 + -7x + -7x

Combine like terms: 7 + -8 = -1
12 + -9x = -1 + 3 + -7x + -7x

Combine like terms: -1 + 3 = 2
12 + -9x = 2 + -7x + -7x

Combine like terms: -7x + -7x = -14x
12 + -9x = 2 + -14x

Solving
12 + -9x = 2 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
12 + -9x + 14x = 2 + -14x + 14x

Combine like terms: -9x + 14x = 5x
12 + 5x = 2 + -14x + 14x

Combine like terms: -14x + 14x = 0
12 + 5x = 2 + 0
12 + 5x = 2

Add '-12' to each side of the equation.
12 + -12 + 5x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 2 + -12
5x = 2 + -12

Combine like terms: 2 + -12 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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