2(x+3)+3(x+3)=0

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Solution for 2(x+3)+3(x+3)=0 equation:


Simplifying
2(x + 3) + 3(x + 3) = 0

Reorder the terms:
2(3 + x) + 3(x + 3) = 0
(3 * 2 + x * 2) + 3(x + 3) = 0
(6 + 2x) + 3(x + 3) = 0

Reorder the terms:
6 + 2x + 3(3 + x) = 0
6 + 2x + (3 * 3 + x * 3) = 0
6 + 2x + (9 + 3x) = 0

Reorder the terms:
6 + 9 + 2x + 3x = 0

Combine like terms: 6 + 9 = 15
15 + 2x + 3x = 0

Combine like terms: 2x + 3x = 5x
15 + 5x = 0

Solving
15 + 5x = 0

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 5x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 0 + -15
5x = 0 + -15

Combine like terms: 0 + -15 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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