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

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


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

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

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

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

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

Combine like terms: 7 + 8 = 15
15 + -3x + -2x = -6(x + -8) + -1(8x + 2) + 7

Combine like terms: -3x + -2x = -5x
15 + -5x = -6(x + -8) + -1(8x + 2) + 7

Reorder the terms:
15 + -5x = -6(-8 + x) + -1(8x + 2) + 7
15 + -5x = (-8 * -6 + x * -6) + -1(8x + 2) + 7
15 + -5x = (48 + -6x) + -1(8x + 2) + 7

Reorder the terms:
15 + -5x = 48 + -6x + -1(2 + 8x) + 7
15 + -5x = 48 + -6x + (2 * -1 + 8x * -1) + 7
15 + -5x = 48 + -6x + (-2 + -8x) + 7

Reorder the terms:
15 + -5x = 48 + -2 + 7 + -6x + -8x

Combine like terms: 48 + -2 = 46
15 + -5x = 46 + 7 + -6x + -8x

Combine like terms: 46 + 7 = 53
15 + -5x = 53 + -6x + -8x

Combine like terms: -6x + -8x = -14x
15 + -5x = 53 + -14x

Solving
15 + -5x = 53 + -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.
15 + -5x + 14x = 53 + -14x + 14x

Combine like terms: -5x + 14x = 9x
15 + 9x = 53 + -14x + 14x

Combine like terms: -14x + 14x = 0
15 + 9x = 53 + 0
15 + 9x = 53

Add '-15' to each side of the equation.
15 + -15 + 9x = 53 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 53 + -15
9x = 53 + -15

Combine like terms: 53 + -15 = 38
9x = 38

Divide each side by '9'.
x = 4.222222222

Simplifying
x = 4.222222222

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