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

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


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

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

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

Combine like terms: -2 + 2 = 0
0 + 4x = 6(x + -1)
4x = 6(x + -1)

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

Solving
4x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4x + -6x = -6 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-2x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2x = -6 + 0
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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