(5-7x)-(-8x+9)=(16x+22)-(6x-12)

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Solution for (5-7x)-(-8x+9)=(16x+22)-(6x-12) equation:


Simplifying
(5 + -7x) + -1(-8x + 9) = (16x + 22) + -1(6x + -12)

Remove parenthesis around (5 + -7x)
5 + -7x + -1(-8x + 9) = (16x + 22) + -1(6x + -12)

Reorder the terms:
5 + -7x + -1(9 + -8x) = (16x + 22) + -1(6x + -12)
5 + -7x + (9 * -1 + -8x * -1) = (16x + 22) + -1(6x + -12)
5 + -7x + (-9 + 8x) = (16x + 22) + -1(6x + -12)

Reorder the terms:
5 + -9 + -7x + 8x = (16x + 22) + -1(6x + -12)

Combine like terms: 5 + -9 = -4
-4 + -7x + 8x = (16x + 22) + -1(6x + -12)

Combine like terms: -7x + 8x = 1x
-4 + 1x = (16x + 22) + -1(6x + -12)

Reorder the terms:
-4 + 1x = (22 + 16x) + -1(6x + -12)

Remove parenthesis around (22 + 16x)
-4 + 1x = 22 + 16x + -1(6x + -12)

Reorder the terms:
-4 + 1x = 22 + 16x + -1(-12 + 6x)
-4 + 1x = 22 + 16x + (-12 * -1 + 6x * -1)
-4 + 1x = 22 + 16x + (12 + -6x)

Reorder the terms:
-4 + 1x = 22 + 12 + 16x + -6x

Combine like terms: 22 + 12 = 34
-4 + 1x = 34 + 16x + -6x

Combine like terms: 16x + -6x = 10x
-4 + 1x = 34 + 10x

Solving
-4 + 1x = 34 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-4 + 1x + -10x = 34 + 10x + -10x

Combine like terms: 1x + -10x = -9x
-4 + -9x = 34 + 10x + -10x

Combine like terms: 10x + -10x = 0
-4 + -9x = 34 + 0
-4 + -9x = 34

Add '4' to each side of the equation.
-4 + 4 + -9x = 34 + 4

Combine like terms: -4 + 4 = 0
0 + -9x = 34 + 4
-9x = 34 + 4

Combine like terms: 34 + 4 = 38
-9x = 38

Divide each side by '-9'.
x = -4.222222222

Simplifying
x = -4.222222222

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