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

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


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

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

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

Combine like terms: 6x + 2x = 8x
-6 + 2x = 12 + 8x

Solving
-6 + 2x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 2x + -8x = 12 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-6 + -6x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -6x = 12 + 0
-6 + -6x = 12

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

Combine like terms: -6 + 6 = 0
0 + -6x = 12 + 6
-6x = 12 + 6

Combine like terms: 12 + 6 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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