x+2=3(2x-6)

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


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

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

Reorder the terms:
2 + x = 3(-6 + 2x)
2 + x = (-6 * 3 + 2x * 3)
2 + x = (-18 + 6x)

Solving
2 + x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + x + -6x = -18 + 6x + -6x

Combine like terms: x + -6x = -5x
2 + -5x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -5x = -18 + 0
2 + -5x = -18

Add '-2' to each side of the equation.
2 + -2 + -5x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -18 + -2
-5x = -18 + -2

Combine like terms: -18 + -2 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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