6x-2=2(x-2)

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


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

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

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

Solving
-2 + 6x = -4 + 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.
-2 + 6x + -2x = -4 + 2x + -2x

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

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

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

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

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

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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