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

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


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

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

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

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

Combine like terms: 7 + 9 = 16
16 + 4 + -3x + -6x = -9(x + -4) + -1(6x + 6) + 8

Combine like terms: 16 + 4 = 20
20 + -3x + -6x = -9(x + -4) + -1(6x + 6) + 8

Combine like terms: -3x + -6x = -9x
20 + -9x = -9(x + -4) + -1(6x + 6) + 8

Reorder the terms:
20 + -9x = -9(-4 + x) + -1(6x + 6) + 8
20 + -9x = (-4 * -9 + x * -9) + -1(6x + 6) + 8
20 + -9x = (36 + -9x) + -1(6x + 6) + 8

Reorder the terms:
20 + -9x = 36 + -9x + -1(6 + 6x) + 8
20 + -9x = 36 + -9x + (6 * -1 + 6x * -1) + 8
20 + -9x = 36 + -9x + (-6 + -6x) + 8

Reorder the terms:
20 + -9x = 36 + -6 + 8 + -9x + -6x

Combine like terms: 36 + -6 = 30
20 + -9x = 30 + 8 + -9x + -6x

Combine like terms: 30 + 8 = 38
20 + -9x = 38 + -9x + -6x

Combine like terms: -9x + -6x = -15x
20 + -9x = 38 + -15x

Solving
20 + -9x = 38 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
20 + -9x + 15x = 38 + -15x + 15x

Combine like terms: -9x + 15x = 6x
20 + 6x = 38 + -15x + 15x

Combine like terms: -15x + 15x = 0
20 + 6x = 38 + 0
20 + 6x = 38

Add '-20' to each side of the equation.
20 + -20 + 6x = 38 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = 38 + -20
6x = 38 + -20

Combine like terms: 38 + -20 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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