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

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


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

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

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

Reorder the terms:
-1 + 3x = -6 + 2 + 12x

Combine like terms: -6 + 2 = -4
-1 + 3x = -4 + 12x

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

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-1 + 3x + -12x = -4 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-1 + -9x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
-1 + -9x = -4 + 0
-1 + -9x = -4

Add '1' to each side of the equation.
-1 + 1 + -9x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -9x = -4 + 1
-9x = -4 + 1

Combine like terms: -4 + 1 = -3
-9x = -3

Divide each side by '-9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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