6x-2(2-x)=-4(2x-1)

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Solution for 6x-2(2-x)=-4(2x-1) equation:


Simplifying
6x + -2(2 + -1x) = -4(2x + -1)
6x + (2 * -2 + -1x * -2) = -4(2x + -1)
6x + (-4 + 2x) = -4(2x + -1)

Reorder the terms:
-4 + 6x + 2x = -4(2x + -1)

Combine like terms: 6x + 2x = 8x
-4 + 8x = -4(2x + -1)

Reorder the terms:
-4 + 8x = -4(-1 + 2x)
-4 + 8x = (-1 * -4 + 2x * -4)
-4 + 8x = (4 + -8x)

Solving
-4 + 8x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-4 + 8x + 8x = 4 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-4 + 16x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-4 + 16x = 4 + 0
-4 + 16x = 4

Add '4' to each side of the equation.
-4 + 4 + 16x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 16x = 4 + 4
16x = 4 + 4

Combine like terms: 4 + 4 = 8
16x = 8

Divide each side by '16'.
x = 0.5

Simplifying
x = 0.5

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