-(9x-5)-(5x-8)+8=-7(x-4)-(9x+5)+9

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Solution for -(9x-5)-(5x-8)+8=-7(x-4)-(9x+5)+9 equation:


Simplifying
-1(9x + -5) + -1(5x + -8) + 8 = -7(x + -4) + -1(9x + 5) + 9

Reorder the terms:
-1(-5 + 9x) + -1(5x + -8) + 8 = -7(x + -4) + -1(9x + 5) + 9
(-5 * -1 + 9x * -1) + -1(5x + -8) + 8 = -7(x + -4) + -1(9x + 5) + 9
(5 + -9x) + -1(5x + -8) + 8 = -7(x + -4) + -1(9x + 5) + 9

Reorder the terms:
5 + -9x + -1(-8 + 5x) + 8 = -7(x + -4) + -1(9x + 5) + 9
5 + -9x + (-8 * -1 + 5x * -1) + 8 = -7(x + -4) + -1(9x + 5) + 9
5 + -9x + (8 + -5x) + 8 = -7(x + -4) + -1(9x + 5) + 9

Reorder the terms:
5 + 8 + 8 + -9x + -5x = -7(x + -4) + -1(9x + 5) + 9

Combine like terms: 5 + 8 = 13
13 + 8 + -9x + -5x = -7(x + -4) + -1(9x + 5) + 9

Combine like terms: 13 + 8 = 21
21 + -9x + -5x = -7(x + -4) + -1(9x + 5) + 9

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

Reorder the terms:
21 + -14x = -7(-4 + x) + -1(9x + 5) + 9
21 + -14x = (-4 * -7 + x * -7) + -1(9x + 5) + 9
21 + -14x = (28 + -7x) + -1(9x + 5) + 9

Reorder the terms:
21 + -14x = 28 + -7x + -1(5 + 9x) + 9
21 + -14x = 28 + -7x + (5 * -1 + 9x * -1) + 9
21 + -14x = 28 + -7x + (-5 + -9x) + 9

Reorder the terms:
21 + -14x = 28 + -5 + 9 + -7x + -9x

Combine like terms: 28 + -5 = 23
21 + -14x = 23 + 9 + -7x + -9x

Combine like terms: 23 + 9 = 32
21 + -14x = 32 + -7x + -9x

Combine like terms: -7x + -9x = -16x
21 + -14x = 32 + -16x

Solving
21 + -14x = 32 + -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 = 32 + -16x + 16x

Combine like terms: -14x + 16x = 2x
21 + 2x = 32 + -16x + 16x

Combine like terms: -16x + 16x = 0
21 + 2x = 32 + 0
21 + 2x = 32

Add '-21' to each side of the equation.
21 + -21 + 2x = 32 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 32 + -21
2x = 32 + -21

Combine like terms: 32 + -21 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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