-(8x-7)-(3x-8)+5=-9(x-9)-(6x+3)+2

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Solution for -(8x-7)-(3x-8)+5=-9(x-9)-(6x+3)+2 equation:


Simplifying
-1(8x + -7) + -1(3x + -8) + 5 = -9(x + -9) + -1(6x + 3) + 2

Reorder the terms:
-1(-7 + 8x) + -1(3x + -8) + 5 = -9(x + -9) + -1(6x + 3) + 2
(-7 * -1 + 8x * -1) + -1(3x + -8) + 5 = -9(x + -9) + -1(6x + 3) + 2
(7 + -8x) + -1(3x + -8) + 5 = -9(x + -9) + -1(6x + 3) + 2

Reorder the terms:
7 + -8x + -1(-8 + 3x) + 5 = -9(x + -9) + -1(6x + 3) + 2
7 + -8x + (-8 * -1 + 3x * -1) + 5 = -9(x + -9) + -1(6x + 3) + 2
7 + -8x + (8 + -3x) + 5 = -9(x + -9) + -1(6x + 3) + 2

Reorder the terms:
7 + 8 + 5 + -8x + -3x = -9(x + -9) + -1(6x + 3) + 2

Combine like terms: 7 + 8 = 15
15 + 5 + -8x + -3x = -9(x + -9) + -1(6x + 3) + 2

Combine like terms: 15 + 5 = 20
20 + -8x + -3x = -9(x + -9) + -1(6x + 3) + 2

Combine like terms: -8x + -3x = -11x
20 + -11x = -9(x + -9) + -1(6x + 3) + 2

Reorder the terms:
20 + -11x = -9(-9 + x) + -1(6x + 3) + 2
20 + -11x = (-9 * -9 + x * -9) + -1(6x + 3) + 2
20 + -11x = (81 + -9x) + -1(6x + 3) + 2

Reorder the terms:
20 + -11x = 81 + -9x + -1(3 + 6x) + 2
20 + -11x = 81 + -9x + (3 * -1 + 6x * -1) + 2
20 + -11x = 81 + -9x + (-3 + -6x) + 2

Reorder the terms:
20 + -11x = 81 + -3 + 2 + -9x + -6x

Combine like terms: 81 + -3 = 78
20 + -11x = 78 + 2 + -9x + -6x

Combine like terms: 78 + 2 = 80
20 + -11x = 80 + -9x + -6x

Combine like terms: -9x + -6x = -15x
20 + -11x = 80 + -15x

Solving
20 + -11x = 80 + -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.
20 + -11x + 15x = 80 + -15x + 15x

Combine like terms: -11x + 15x = 4x
20 + 4x = 80 + -15x + 15x

Combine like terms: -15x + 15x = 0
20 + 4x = 80 + 0
20 + 4x = 80

Add '-20' to each side of the equation.
20 + -20 + 4x = 80 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 80 + -20
4x = 80 + -20

Combine like terms: 80 + -20 = 60
4x = 60

Divide each side by '4'.
x = 15

Simplifying
x = 15

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