-4(2x-4)=10(4x-2)-12x

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Solution for -4(2x-4)=10(4x-2)-12x equation:


Simplifying
-4(2x + -4) = 10(4x + -2) + -12x

Reorder the terms:
-4(-4 + 2x) = 10(4x + -2) + -12x
(-4 * -4 + 2x * -4) = 10(4x + -2) + -12x
(16 + -8x) = 10(4x + -2) + -12x

Reorder the terms:
16 + -8x = 10(-2 + 4x) + -12x
16 + -8x = (-2 * 10 + 4x * 10) + -12x
16 + -8x = (-20 + 40x) + -12x

Combine like terms: 40x + -12x = 28x
16 + -8x = -20 + 28x

Solving
16 + -8x = -20 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
16 + -8x + -28x = -20 + 28x + -28x

Combine like terms: -8x + -28x = -36x
16 + -36x = -20 + 28x + -28x

Combine like terms: 28x + -28x = 0
16 + -36x = -20 + 0
16 + -36x = -20

Add '-16' to each side of the equation.
16 + -16 + -36x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -36x = -20 + -16
-36x = -20 + -16

Combine like terms: -20 + -16 = -36
-36x = -36

Divide each side by '-36'.
x = 1

Simplifying
x = 1

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