9x-4(x-2)=8x+18-2x

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Solution for 9x-4(x-2)=8x+18-2x equation:


Simplifying
9x + -4(x + -2) = 8x + 18 + -2x

Reorder the terms:
9x + -4(-2 + x) = 8x + 18 + -2x
9x + (-2 * -4 + x * -4) = 8x + 18 + -2x
9x + (8 + -4x) = 8x + 18 + -2x

Reorder the terms:
8 + 9x + -4x = 8x + 18 + -2x

Combine like terms: 9x + -4x = 5x
8 + 5x = 8x + 18 + -2x

Reorder the terms:
8 + 5x = 18 + 8x + -2x

Combine like terms: 8x + -2x = 6x
8 + 5x = 18 + 6x

Solving
8 + 5x = 18 + 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.
8 + 5x + -6x = 18 + 6x + -6x

Combine like terms: 5x + -6x = -1x
8 + -1x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -1x = 18 + 0
8 + -1x = 18

Add '-8' to each side of the equation.
8 + -8 + -1x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 18 + -8
-1x = 18 + -8

Combine like terms: 18 + -8 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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