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

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


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

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

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

Reorder the terms:
16 + -8x = -20 + -12 + 40x

Combine like terms: -20 + -12 = -32
16 + -8x = -32 + 40x

Solving
16 + -8x = -32 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
16 + -8x + -40x = -32 + 40x + -40x

Combine like terms: -8x + -40x = -48x
16 + -48x = -32 + 40x + -40x

Combine like terms: 40x + -40x = 0
16 + -48x = -32 + 0
16 + -48x = -32

Add '-16' to each side of the equation.
16 + -16 + -48x = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -48x = -32 + -16
-48x = -32 + -16

Combine like terms: -32 + -16 = -48
-48x = -48

Divide each side by '-48'.
x = 1

Simplifying
x = 1

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