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

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


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

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

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

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

Combine like terms: 6 + 9 = 15
15 + 6 + -9x + -5x = -9(x + -4) + -1(7x + 5) + 4

Combine like terms: 15 + 6 = 21
21 + -9x + -5x = -9(x + -4) + -1(7x + 5) + 4

Combine like terms: -9x + -5x = -14x
21 + -14x = -9(x + -4) + -1(7x + 5) + 4

Reorder the terms:
21 + -14x = -9(-4 + x) + -1(7x + 5) + 4
21 + -14x = (-4 * -9 + x * -9) + -1(7x + 5) + 4
21 + -14x = (36 + -9x) + -1(7x + 5) + 4

Reorder the terms:
21 + -14x = 36 + -9x + -1(5 + 7x) + 4
21 + -14x = 36 + -9x + (5 * -1 + 7x * -1) + 4
21 + -14x = 36 + -9x + (-5 + -7x) + 4

Reorder the terms:
21 + -14x = 36 + -5 + 4 + -9x + -7x

Combine like terms: 36 + -5 = 31
21 + -14x = 31 + 4 + -9x + -7x

Combine like terms: 31 + 4 = 35
21 + -14x = 35 + -9x + -7x

Combine like terms: -9x + -7x = -16x
21 + -14x = 35 + -16x

Solving
21 + -14x = 35 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
21 + -14x + 16x = 35 + -16x + 16x

Combine like terms: -14x + 16x = 2x
21 + 2x = 35 + -16x + 16x

Combine like terms: -16x + 16x = 0
21 + 2x = 35 + 0
21 + 2x = 35

Add '-21' to each side of the equation.
21 + -21 + 2x = 35 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 35 + -21
2x = 35 + -21

Combine like terms: 35 + -21 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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