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

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


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

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

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

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

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

Reorder the terms:
-22 + 1x = -9 + 8 + 5x + (-1x)

Combine like terms: -9 + 8 = -1
-22 + 1x = -1 + 5x + (-1x)

Combine like terms: 5x + (-1x) = 4x
-22 + 1x = -1 + 4x

Solving
-22 + 1x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-22 + 1x + -4x = -1 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-22 + -3x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-22 + -3x = -1 + 0
-22 + -3x = -1

Add '22' to each side of the equation.
-22 + 22 + -3x = -1 + 22

Combine like terms: -22 + 22 = 0
0 + -3x = -1 + 22
-3x = -1 + 22

Combine like terms: -1 + 22 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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