9x-4(x-1)=8x+22-2x

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Solution for 9x-4(x-1)=8x+22-2x equation:


Simplifying
9x + -4(x + -1) = 8x + 22 + -2x

Reorder the terms:
9x + -4(-1 + x) = 8x + 22 + -2x
9x + (-1 * -4 + x * -4) = 8x + 22 + -2x
9x + (4 + -4x) = 8x + 22 + -2x

Reorder the terms:
4 + 9x + -4x = 8x + 22 + -2x

Combine like terms: 9x + -4x = 5x
4 + 5x = 8x + 22 + -2x

Reorder the terms:
4 + 5x = 22 + 8x + -2x

Combine like terms: 8x + -2x = 6x
4 + 5x = 22 + 6x

Solving
4 + 5x = 22 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 5x + -6x = 22 + 6x + -6x

Combine like terms: 5x + -6x = -1x
4 + -1x = 22 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -1x = 22 + 0
4 + -1x = 22

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

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

Combine like terms: 22 + -4 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

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