3(x+3)=x-3

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


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

Reorder the terms:
3(3 + x) = x + -3
(3 * 3 + x * 3) = x + -3
(9 + 3x) = x + -3

Reorder the terms:
9 + 3x = -3 + x

Solving
9 + 3x = -3 + 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.
9 + 3x + -1x = -3 + x + -1x

Combine like terms: 3x + -1x = 2x
9 + 2x = -3 + x + -1x

Combine like terms: x + -1x = 0
9 + 2x = -3 + 0
9 + 2x = -3

Add '-9' to each side of the equation.
9 + -9 + 2x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -3 + -9
2x = -3 + -9

Combine like terms: -3 + -9 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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