-(4x-4)-(3x-9)+2=-7(x-8)-(3x+7)+9

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Solution for -(4x-4)-(3x-9)+2=-7(x-8)-(3x+7)+9 equation: 


Simplifying
-1(4x + -4) + -1(3x + -9) + 2 = -7(x + -8) + -1(3x + 7) + 9

Reorder the terms:
-1(-4 + 4x) + -1(3x + -9) + 2 = -7(x + -8) + -1(3x + 7) + 9
(-4 * -1 + 4x * -1) + -1(3x + -9) + 2 = -7(x + -8) + -1(3x + 7) + 9
(4 + -4x) + -1(3x + -9) + 2 = -7(x + -8) + -1(3x + 7) + 9

Reorder the terms:
4 + -4x + -1(-9 + 3x) + 2 = -7(x + -8) + -1(3x + 7) + 9
4 + -4x + (-9 * -1 + 3x * -1) + 2 = -7(x + -8) + -1(3x + 7) + 9
4 + -4x + (9 + -3x) + 2 = -7(x + -8) + -1(3x + 7) + 9

Reorder the terms:
4 + 9 + 2 + -4x + -3x = -7(x + -8) + -1(3x + 7) + 9

Combine like terms: 4 + 9 = 13
13 + 2 + -4x + -3x = -7(x + -8) + -1(3x + 7) + 9

Combine like terms: 13 + 2 = 15
15 + -4x + -3x = -7(x + -8) + -1(3x + 7) + 9

Combine like terms: -4x + -3x = -7x
15 + -7x = -7(x + -8) + -1(3x + 7) + 9

Reorder the terms:
15 + -7x = -7(-8 + x) + -1(3x + 7) + 9
15 + -7x = (-8 * -7 + x * -7) + -1(3x + 7) + 9
15 + -7x = (56 + -7x) + -1(3x + 7) + 9

Reorder the terms:
15 + -7x = 56 + -7x + -1(7 + 3x) + 9
15 + -7x = 56 + -7x + (7 * -1 + 3x * -1) + 9
15 + -7x = 56 + -7x + (-7 + -3x) + 9

Reorder the terms:
15 + -7x = 56 + -7 + 9 + -7x + -3x

Combine like terms: 56 + -7 = 49
15 + -7x = 49 + 9 + -7x + -3x

Combine like terms: 49 + 9 = 58
15 + -7x = 58 + -7x + -3x

Combine like terms: -7x + -3x = -10x
15 + -7x = 58 + -10x

Solving
15 + -7x = 58 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
15 + -7x + 10x = 58 + -10x + 10x

Combine like terms: -7x + 10x = 3x
15 + 3x = 58 + -10x + 10x

Combine like terms: -10x + 10x = 0
15 + 3x = 58 + 0
15 + 3x = 58

Add '-15' to each side of the equation.
15 + -15 + 3x = 58 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 58 + -15
3x = 58 + -15

Combine like terms: 58 + -15 = 43
3x = 43

Divide each side by '3'.
x = 14.33333333

Simplifying
x = 14.33333333

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