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

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


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

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

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

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

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

Solving
-1 + 3x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 3x + -6x = -2 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-1 + -3x = -2 + 0
-1 + -3x = -2

Add '1' to each side of the equation.
-1 + 1 + -3x = -2 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -2 + 1
-3x = -2 + 1

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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