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

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Solution for 6(x-2)-8=-2(-9x+9)-4x equation:


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

Reorder the terms:
6(-2 + x) + -8 = -2(-9x + 9) + -4x
(-2 * 6 + x * 6) + -8 = -2(-9x + 9) + -4x
(-12 + 6x) + -8 = -2(-9x + 9) + -4x

Reorder the terms:
-12 + -8 + 6x = -2(-9x + 9) + -4x

Combine like terms: -12 + -8 = -20
-20 + 6x = -2(-9x + 9) + -4x

Reorder the terms:
-20 + 6x = -2(9 + -9x) + -4x
-20 + 6x = (9 * -2 + -9x * -2) + -4x
-20 + 6x = (-18 + 18x) + -4x

Combine like terms: 18x + -4x = 14x
-20 + 6x = -18 + 14x

Solving
-20 + 6x = -18 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-20 + 6x + -14x = -18 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-20 + -8x = -18 + 14x + -14x

Combine like terms: 14x + -14x = 0
-20 + -8x = -18 + 0
-20 + -8x = -18

Add '20' to each side of the equation.
-20 + 20 + -8x = -18 + 20

Combine like terms: -20 + 20 = 0
0 + -8x = -18 + 20
-8x = -18 + 20

Combine like terms: -18 + 20 = 2
-8x = 2

Divide each side by '-8'.
x = -0.25

Simplifying
x = -0.25

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