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

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


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

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

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

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

Combine like terms: 2 + 9 = 11
11 + 9 + -4x + -7x = -9(x + -6) + -1(5x + 2) + 4

Combine like terms: 11 + 9 = 20
20 + -4x + -7x = -9(x + -6) + -1(5x + 2) + 4

Combine like terms: -4x + -7x = -11x
20 + -11x = -9(x + -6) + -1(5x + 2) + 4

Reorder the terms:
20 + -11x = -9(-6 + x) + -1(5x + 2) + 4
20 + -11x = (-6 * -9 + x * -9) + -1(5x + 2) + 4
20 + -11x = (54 + -9x) + -1(5x + 2) + 4

Reorder the terms:
20 + -11x = 54 + -9x + -1(2 + 5x) + 4
20 + -11x = 54 + -9x + (2 * -1 + 5x * -1) + 4
20 + -11x = 54 + -9x + (-2 + -5x) + 4

Reorder the terms:
20 + -11x = 54 + -2 + 4 + -9x + -5x

Combine like terms: 54 + -2 = 52
20 + -11x = 52 + 4 + -9x + -5x

Combine like terms: 52 + 4 = 56
20 + -11x = 56 + -9x + -5x

Combine like terms: -9x + -5x = -14x
20 + -11x = 56 + -14x

Solving
20 + -11x = 56 + -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.
20 + -11x + 14x = 56 + -14x + 14x

Combine like terms: -11x + 14x = 3x
20 + 3x = 56 + -14x + 14x

Combine like terms: -14x + 14x = 0
20 + 3x = 56 + 0
20 + 3x = 56

Add '-20' to each side of the equation.
20 + -20 + 3x = 56 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 56 + -20
3x = 56 + -20

Combine like terms: 56 + -20 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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