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

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


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

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

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

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

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

Solving
-1 + 6x = 3x

Solving for variable 'x'.

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

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

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

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 0 + 1

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

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

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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