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

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


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

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

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

Combine like terms: -8 + -8 = -16
-16 + 4x = -2(-8x + 9) + -2x

Reorder the terms:
-16 + 4x = -2(9 + -8x) + -2x
-16 + 4x = (9 * -2 + -8x * -2) + -2x
-16 + 4x = (-18 + 16x) + -2x

Combine like terms: 16x + -2x = 14x
-16 + 4x = -18 + 14x

Solving
-16 + 4x = -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.
-16 + 4x + -14x = -18 + 14x + -14x

Combine like terms: 4x + -14x = -10x
-16 + -10x = -18 + 14x + -14x

Combine like terms: 14x + -14x = 0
-16 + -10x = -18 + 0
-16 + -10x = -18

Add '16' to each side of the equation.
-16 + 16 + -10x = -18 + 16

Combine like terms: -16 + 16 = 0
0 + -10x = -18 + 16
-10x = -18 + 16

Combine like terms: -18 + 16 = -2
-10x = -2

Divide each side by '-10'.
x = 0.2

Simplifying
x = 0.2

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