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

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


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

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

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

Combine like terms: x + 3x = 4x
9 + 4x = 3(x + -3)

Reorder the terms:
9 + 4x = 3(-3 + x)
9 + 4x = (-3 * 3 + x * 3)
9 + 4x = (-9 + 3x)

Solving
9 + 4x = -9 + 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.
9 + 4x + -3x = -9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
9 + 1x = -9 + 3x + -3x

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

Add '-9' to each side of the equation.
9 + -9 + 1x = -9 + -9

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

Combine like terms: -9 + -9 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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