-(2x-2)-(8x-8)+2=-9(x-7)-(8x+6)+8

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Solution for -(2x-2)-(8x-8)+2=-9(x-7)-(8x+6)+8 equation:


Simplifying
-1(2x + -2) + -1(8x + -8) + 2 = -9(x + -7) + -1(8x + 6) + 8

Reorder the terms:
-1(-2 + 2x) + -1(8x + -8) + 2 = -9(x + -7) + -1(8x + 6) + 8
(-2 * -1 + 2x * -1) + -1(8x + -8) + 2 = -9(x + -7) + -1(8x + 6) + 8
(2 + -2x) + -1(8x + -8) + 2 = -9(x + -7) + -1(8x + 6) + 8

Reorder the terms:
2 + -2x + -1(-8 + 8x) + 2 = -9(x + -7) + -1(8x + 6) + 8
2 + -2x + (-8 * -1 + 8x * -1) + 2 = -9(x + -7) + -1(8x + 6) + 8
2 + -2x + (8 + -8x) + 2 = -9(x + -7) + -1(8x + 6) + 8

Reorder the terms:
2 + 8 + 2 + -2x + -8x = -9(x + -7) + -1(8x + 6) + 8

Combine like terms: 2 + 8 = 10
10 + 2 + -2x + -8x = -9(x + -7) + -1(8x + 6) + 8

Combine like terms: 10 + 2 = 12
12 + -2x + -8x = -9(x + -7) + -1(8x + 6) + 8

Combine like terms: -2x + -8x = -10x
12 + -10x = -9(x + -7) + -1(8x + 6) + 8

Reorder the terms:
12 + -10x = -9(-7 + x) + -1(8x + 6) + 8
12 + -10x = (-7 * -9 + x * -9) + -1(8x + 6) + 8
12 + -10x = (63 + -9x) + -1(8x + 6) + 8

Reorder the terms:
12 + -10x = 63 + -9x + -1(6 + 8x) + 8
12 + -10x = 63 + -9x + (6 * -1 + 8x * -1) + 8
12 + -10x = 63 + -9x + (-6 + -8x) + 8

Reorder the terms:
12 + -10x = 63 + -6 + 8 + -9x + -8x

Combine like terms: 63 + -6 = 57
12 + -10x = 57 + 8 + -9x + -8x

Combine like terms: 57 + 8 = 65
12 + -10x = 65 + -9x + -8x

Combine like terms: -9x + -8x = -17x
12 + -10x = 65 + -17x

Solving
12 + -10x = 65 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
12 + -10x + 17x = 65 + -17x + 17x

Combine like terms: -10x + 17x = 7x
12 + 7x = 65 + -17x + 17x

Combine like terms: -17x + 17x = 0
12 + 7x = 65 + 0
12 + 7x = 65

Add '-12' to each side of the equation.
12 + -12 + 7x = 65 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 65 + -12
7x = 65 + -12

Combine like terms: 65 + -12 = 53
7x = 53

Divide each side by '7'.
x = 7.571428571

Simplifying
x = 7.571428571

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