3(x+5)=-12(x+2)

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Solution for 3(x+5)=-12(x+2) equation: 


Simplifying
3(x + 5) = -12(x + 2)

Reorder the terms:
3(5 + x) = -12(x + 2)
(5 * 3 + x * 3) = -12(x + 2)
(15 + 3x) = -12(x + 2)

Reorder the terms:
15 + 3x = -12(2 + x)
15 + 3x = (2 * -12 + x * -12)
15 + 3x = (-24 + -12x)

Solving
15 + 3x = -24 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
15 + 3x + 12x = -24 + -12x + 12x

Combine like terms: 3x + 12x = 15x
15 + 15x = -24 + -12x + 12x

Combine like terms: -12x + 12x = 0
15 + 15x = -24 + 0
15 + 15x = -24

Add '-15' to each side of the equation.
15 + -15 + 15x = -24 + -15

Combine like terms: 15 + -15 = 0
0 + 15x = -24 + -15
15x = -24 + -15

Combine like terms: -24 + -15 = -39
15x = -39

Divide each side by '15'.
x = -2.6

Simplifying
x = -2.6

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