2(3x-6)=x+8

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Solution for 2(3x-6)=x+8 equation:


Simplifying
2(3x + -6) = x + 8

Reorder the terms:
2(-6 + 3x) = x + 8
(-6 * 2 + 3x * 2) = x + 8
(-12 + 6x) = x + 8

Reorder the terms:
-12 + 6x = 8 + x

Solving
-12 + 6x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 6x + -1x = 8 + x + -1x

Combine like terms: 6x + -1x = 5x
-12 + 5x = 8 + x + -1x

Combine like terms: x + -1x = 0
-12 + 5x = 8 + 0
-12 + 5x = 8

Add '12' to each side of the equation.
-12 + 12 + 5x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 8 + 12
5x = 8 + 12

Combine like terms: 8 + 12 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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