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

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


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

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

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

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

Combine like terms: 7 + 3 = 10
10 + 6 + -9x + -2x = -9(x + -6) + -1(4x + 7) + 2

Combine like terms: 10 + 6 = 16
16 + -9x + -2x = -9(x + -6) + -1(4x + 7) + 2

Combine like terms: -9x + -2x = -11x
16 + -11x = -9(x + -6) + -1(4x + 7) + 2

Reorder the terms:
16 + -11x = -9(-6 + x) + -1(4x + 7) + 2
16 + -11x = (-6 * -9 + x * -9) + -1(4x + 7) + 2
16 + -11x = (54 + -9x) + -1(4x + 7) + 2

Reorder the terms:
16 + -11x = 54 + -9x + -1(7 + 4x) + 2
16 + -11x = 54 + -9x + (7 * -1 + 4x * -1) + 2
16 + -11x = 54 + -9x + (-7 + -4x) + 2

Reorder the terms:
16 + -11x = 54 + -7 + 2 + -9x + -4x

Combine like terms: 54 + -7 = 47
16 + -11x = 47 + 2 + -9x + -4x

Combine like terms: 47 + 2 = 49
16 + -11x = 49 + -9x + -4x

Combine like terms: -9x + -4x = -13x
16 + -11x = 49 + -13x

Solving
16 + -11x = 49 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
16 + -11x + 13x = 49 + -13x + 13x

Combine like terms: -11x + 13x = 2x
16 + 2x = 49 + -13x + 13x

Combine like terms: -13x + 13x = 0
16 + 2x = 49 + 0
16 + 2x = 49

Add '-16' to each side of the equation.
16 + -16 + 2x = 49 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 49 + -16
2x = 49 + -16

Combine like terms: 49 + -16 = 33
2x = 33

Divide each side by '2'.
x = 16.5

Simplifying
x = 16.5

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