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

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


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

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

Reorder the terms:
-1 + 3x = 2(-6 + 2x)
-1 + 3x = (-6 * 2 + 2x * 2)
-1 + 3x = (-12 + 4x)

Solving
-1 + 3x = -12 + 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.
-1 + 3x + -4x = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -1x = -12 + 0
-1 + -1x = -12

Add '1' to each side of the equation.
-1 + 1 + -1x = -12 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -12 + 1
-1x = -12 + 1

Combine like terms: -12 + 1 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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