2(3x-2)=x+6

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


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

Reorder the terms:
2(-2 + 3x) = x + 6
(-2 * 2 + 3x * 2) = x + 6
(-4 + 6x) = x + 6

Reorder the terms:
-4 + 6x = 6 + x

Solving
-4 + 6x = 6 + 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.
-4 + 6x + -1x = 6 + x + -1x

Combine like terms: 6x + -1x = 5x
-4 + 5x = 6 + x + -1x

Combine like terms: x + -1x = 0
-4 + 5x = 6 + 0
-4 + 5x = 6

Add '4' to each side of the equation.
-4 + 4 + 5x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 6 + 4
5x = 6 + 4

Combine like terms: 6 + 4 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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