-(6x-3)-(2x-5)+4=-3(x-9)-(8x+8)+7

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Solution for -(6x-3)-(2x-5)+4=-3(x-9)-(8x+8)+7 equation:


Simplifying
-1(6x + -3) + -1(2x + -5) + 4 = -3(x + -9) + -1(8x + 8) + 7

Reorder the terms:
-1(-3 + 6x) + -1(2x + -5) + 4 = -3(x + -9) + -1(8x + 8) + 7
(-3 * -1 + 6x * -1) + -1(2x + -5) + 4 = -3(x + -9) + -1(8x + 8) + 7
(3 + -6x) + -1(2x + -5) + 4 = -3(x + -9) + -1(8x + 8) + 7

Reorder the terms:
3 + -6x + -1(-5 + 2x) + 4 = -3(x + -9) + -1(8x + 8) + 7
3 + -6x + (-5 * -1 + 2x * -1) + 4 = -3(x + -9) + -1(8x + 8) + 7
3 + -6x + (5 + -2x) + 4 = -3(x + -9) + -1(8x + 8) + 7

Reorder the terms:
3 + 5 + 4 + -6x + -2x = -3(x + -9) + -1(8x + 8) + 7

Combine like terms: 3 + 5 = 8
8 + 4 + -6x + -2x = -3(x + -9) + -1(8x + 8) + 7

Combine like terms: 8 + 4 = 12
12 + -6x + -2x = -3(x + -9) + -1(8x + 8) + 7

Combine like terms: -6x + -2x = -8x
12 + -8x = -3(x + -9) + -1(8x + 8) + 7

Reorder the terms:
12 + -8x = -3(-9 + x) + -1(8x + 8) + 7
12 + -8x = (-9 * -3 + x * -3) + -1(8x + 8) + 7
12 + -8x = (27 + -3x) + -1(8x + 8) + 7

Reorder the terms:
12 + -8x = 27 + -3x + -1(8 + 8x) + 7
12 + -8x = 27 + -3x + (8 * -1 + 8x * -1) + 7
12 + -8x = 27 + -3x + (-8 + -8x) + 7

Reorder the terms:
12 + -8x = 27 + -8 + 7 + -3x + -8x

Combine like terms: 27 + -8 = 19
12 + -8x = 19 + 7 + -3x + -8x

Combine like terms: 19 + 7 = 26
12 + -8x = 26 + -3x + -8x

Combine like terms: -3x + -8x = -11x
12 + -8x = 26 + -11x

Solving
12 + -8x = 26 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
12 + -8x + 11x = 26 + -11x + 11x

Combine like terms: -8x + 11x = 3x
12 + 3x = 26 + -11x + 11x

Combine like terms: -11x + 11x = 0
12 + 3x = 26 + 0
12 + 3x = 26

Add '-12' to each side of the equation.
12 + -12 + 3x = 26 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 26 + -12
3x = 26 + -12

Combine like terms: 26 + -12 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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