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

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


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

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

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

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

Combine like terms: 9 + 9 = 18
18 + 6 + -4x + -7x = -7(x + -8) + -1(8x + 8) + 6

Combine like terms: 18 + 6 = 24
24 + -4x + -7x = -7(x + -8) + -1(8x + 8) + 6

Combine like terms: -4x + -7x = -11x
24 + -11x = -7(x + -8) + -1(8x + 8) + 6

Reorder the terms:
24 + -11x = -7(-8 + x) + -1(8x + 8) + 6
24 + -11x = (-8 * -7 + x * -7) + -1(8x + 8) + 6
24 + -11x = (56 + -7x) + -1(8x + 8) + 6

Reorder the terms:
24 + -11x = 56 + -7x + -1(8 + 8x) + 6
24 + -11x = 56 + -7x + (8 * -1 + 8x * -1) + 6
24 + -11x = 56 + -7x + (-8 + -8x) + 6

Reorder the terms:
24 + -11x = 56 + -8 + 6 + -7x + -8x

Combine like terms: 56 + -8 = 48
24 + -11x = 48 + 6 + -7x + -8x

Combine like terms: 48 + 6 = 54
24 + -11x = 54 + -7x + -8x

Combine like terms: -7x + -8x = -15x
24 + -11x = 54 + -15x

Solving
24 + -11x = 54 + -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.
24 + -11x + 15x = 54 + -15x + 15x

Combine like terms: -11x + 15x = 4x
24 + 4x = 54 + -15x + 15x

Combine like terms: -15x + 15x = 0
24 + 4x = 54 + 0
24 + 4x = 54

Add '-24' to each side of the equation.
24 + -24 + 4x = 54 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 54 + -24
4x = 54 + -24

Combine like terms: 54 + -24 = 30
4x = 30

Divide each side by '4'.
x = 7.5

Simplifying
x = 7.5

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