-(5x-3)-(2x-9)+7=8(x-8)-(7x+7)+5

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Solution for -(5x-3)-(2x-9)+7=8(x-8)-(7x+7)+5 equation: 


Simplifying
-1(5x + -3) + -1(2x + -9) + 7 = 8(x + -8) + -1(7x + 7) + 5

Reorder the terms:
-1(-3 + 5x) + -1(2x + -9) + 7 = 8(x + -8) + -1(7x + 7) + 5
(-3 * -1 + 5x * -1) + -1(2x + -9) + 7 = 8(x + -8) + -1(7x + 7) + 5
(3 + -5x) + -1(2x + -9) + 7 = 8(x + -8) + -1(7x + 7) + 5

Reorder the terms:
3 + -5x + -1(-9 + 2x) + 7 = 8(x + -8) + -1(7x + 7) + 5
3 + -5x + (-9 * -1 + 2x * -1) + 7 = 8(x + -8) + -1(7x + 7) + 5
3 + -5x + (9 + -2x) + 7 = 8(x + -8) + -1(7x + 7) + 5

Reorder the terms:
3 + 9 + 7 + -5x + -2x = 8(x + -8) + -1(7x + 7) + 5

Combine like terms: 3 + 9 = 12
12 + 7 + -5x + -2x = 8(x + -8) + -1(7x + 7) + 5

Combine like terms: 12 + 7 = 19
19 + -5x + -2x = 8(x + -8) + -1(7x + 7) + 5

Combine like terms: -5x + -2x = -7x
19 + -7x = 8(x + -8) + -1(7x + 7) + 5

Reorder the terms:
19 + -7x = 8(-8 + x) + -1(7x + 7) + 5
19 + -7x = (-8 * 8 + x * 8) + -1(7x + 7) + 5
19 + -7x = (-64 + 8x) + -1(7x + 7) + 5

Reorder the terms:
19 + -7x = -64 + 8x + -1(7 + 7x) + 5
19 + -7x = -64 + 8x + (7 * -1 + 7x * -1) + 5
19 + -7x = -64 + 8x + (-7 + -7x) + 5

Reorder the terms:
19 + -7x = -64 + -7 + 5 + 8x + -7x

Combine like terms: -64 + -7 = -71
19 + -7x = -71 + 5 + 8x + -7x

Combine like terms: -71 + 5 = -66
19 + -7x = -66 + 8x + -7x

Combine like terms: 8x + -7x = 1x
19 + -7x = -66 + 1x

Solving
19 + -7x = -66 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
19 + -7x + -1x = -66 + 1x + -1x

Combine like terms: -7x + -1x = -8x
19 + -8x = -66 + 1x + -1x

Combine like terms: 1x + -1x = 0
19 + -8x = -66 + 0
19 + -8x = -66

Add '-19' to each side of the equation.
19 + -19 + -8x = -66 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = -66 + -19
-8x = -66 + -19

Combine like terms: -66 + -19 = -85
-8x = -85

Divide each side by '-8'.
x = 10.625

Simplifying
x = 10.625

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