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

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


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

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

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

Combine like terms: 3x + 6x = 9x
2 = -18 + 9x

Solving
2 = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + -9x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -9x = -18 + 0
2 + -9x = -18

Add '-2' to each side of the equation.
2 + -2 + -9x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = -18 + -2
-9x = -18 + -2

Combine like terms: -18 + -2 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222

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