2(3x+3)=3x-15

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Solution for 2(3x+3)=3x-15 equation:


Simplifying
2(3x + 3) = 3x + -15

Reorder the terms:
2(3 + 3x) = 3x + -15
(3 * 2 + 3x * 2) = 3x + -15
(6 + 6x) = 3x + -15

Reorder the terms:
6 + 6x = -15 + 3x

Solving
6 + 6x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 6x + -3x = -15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
6 + 3x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 3x = -15 + 0
6 + 3x = -15

Add '-6' to each side of the equation.
6 + -6 + 3x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -15 + -6
3x = -15 + -6

Combine like terms: -15 + -6 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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