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

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


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

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

Combine like terms: 8x + 2x = 10x
-4 + 10x = (2x + -2)

Reorder the terms:
-4 + 10x = (-2 + 2x)

Remove parenthesis around (-2 + 2x)
-4 + 10x = -2 + 2x

Solving
-4 + 10x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 10x + -2x = -2 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-4 + 8x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 8x = -2 + 0
-4 + 8x = -2

Add '4' to each side of the equation.
-4 + 4 + 8x = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = -2 + 4
8x = -2 + 4

Combine like terms: -2 + 4 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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