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

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


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

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

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

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

Combine like terms: 9 + 7 = 16
16 + 6 + -4x + -3x = -6(x + -9) + -1(5x + 6) + 5

Combine like terms: 16 + 6 = 22
22 + -4x + -3x = -6(x + -9) + -1(5x + 6) + 5

Combine like terms: -4x + -3x = -7x
22 + -7x = -6(x + -9) + -1(5x + 6) + 5

Reorder the terms:
22 + -7x = -6(-9 + x) + -1(5x + 6) + 5
22 + -7x = (-9 * -6 + x * -6) + -1(5x + 6) + 5
22 + -7x = (54 + -6x) + -1(5x + 6) + 5

Reorder the terms:
22 + -7x = 54 + -6x + -1(6 + 5x) + 5
22 + -7x = 54 + -6x + (6 * -1 + 5x * -1) + 5
22 + -7x = 54 + -6x + (-6 + -5x) + 5

Reorder the terms:
22 + -7x = 54 + -6 + 5 + -6x + -5x

Combine like terms: 54 + -6 = 48
22 + -7x = 48 + 5 + -6x + -5x

Combine like terms: 48 + 5 = 53
22 + -7x = 53 + -6x + -5x

Combine like terms: -6x + -5x = -11x
22 + -7x = 53 + -11x

Solving
22 + -7x = 53 + -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.
22 + -7x + 11x = 53 + -11x + 11x

Combine like terms: -7x + 11x = 4x
22 + 4x = 53 + -11x + 11x

Combine like terms: -11x + 11x = 0
22 + 4x = 53 + 0
22 + 4x = 53

Add '-22' to each side of the equation.
22 + -22 + 4x = 53 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = 53 + -22
4x = 53 + -22

Combine like terms: 53 + -22 = 31
4x = 31

Divide each side by '4'.
x = 7.75

Simplifying
x = 7.75

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