3(x+5)=-12(x+4)

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Solution for 3(x+5)=-12(x+4) equation: 


Simplifying
3(x + 5) = -12(x + 4)

Reorder the terms:
3(5 + x) = -12(x + 4)
(5 * 3 + x * 3) = -12(x + 4)
(15 + 3x) = -12(x + 4)

Reorder the terms:
15 + 3x = -12(4 + x)
15 + 3x = (4 * -12 + x * -12)
15 + 3x = (-48 + -12x)

Solving
15 + 3x = -48 + -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 = -48 + -12x + 12x

Combine like terms: 3x + 12x = 15x
15 + 15x = -48 + -12x + 12x

Combine like terms: -12x + 12x = 0
15 + 15x = -48 + 0
15 + 15x = -48

Add '-15' to each side of the equation.
15 + -15 + 15x = -48 + -15

Combine like terms: 15 + -15 = 0
0 + 15x = -48 + -15
15x = -48 + -15

Combine like terms: -48 + -15 = -63
15x = -63

Divide each side by '15'.
x = -4.2

Simplifying
x = -4.2

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