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

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


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

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

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

Reorder the terms:
6 + -4x = -6 + 2x

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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