6(x-1)=3x+6

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


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

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

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

Solving
-6 + 6x = 6 + 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.
-6 + 6x + -3x = 6 + 3x + -3x

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

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

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

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

Combine like terms: 6 + 6 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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