3x-6=2(2x-1)

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Solution for 3x-6=2(2x-1) equation:


Simplifying
3x + -6 = 2(2x + -1)

Reorder the terms:
-6 + 3x = 2(2x + -1)

Reorder the terms:
-6 + 3x = 2(-1 + 2x)
-6 + 3x = (-1 * 2 + 2x * 2)
-6 + 3x = (-2 + 4x)

Solving
-6 + 3x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 3x + -4x = -2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-6 + -1x = -2 + 4x + -4x

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

Add '6' to each side of the equation.
-6 + 6 + -1x = -2 + 6

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

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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