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

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


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

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

Reorder the terms for easier multiplication:
3(3 + x) = (-2)(x + -2)
(3 * 3 + x * 3) = (-2)(x + -2)
(9 + 3x) = (-2)(x + -2)

Reorder the terms:
9 + 3x = -2(-2 + x)
9 + 3x = (-2 * -2 + x * -2)
9 + 3x = (4 + -2x)

Solving
9 + 3x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + 3x + 2x = 4 + -2x + 2x

Combine like terms: 3x + 2x = 5x
9 + 5x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 5x = 4 + 0
9 + 5x = 4

Add '-9' to each side of the equation.
9 + -9 + 5x = 4 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 4 + -9
5x = 4 + -9

Combine like terms: 4 + -9 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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