12(x+7)=-3(x+2)

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Solution for 12(x+7)=-3(x+2) equation:


Simplifying
12(x + 7) = -3(x + 2)

Reorder the terms:
12(7 + x) = -3(x + 2)
(7 * 12 + x * 12) = -3(x + 2)
(84 + 12x) = -3(x + 2)

Reorder the terms:
84 + 12x = -3(2 + x)
84 + 12x = (2 * -3 + x * -3)
84 + 12x = (-6 + -3x)

Solving
84 + 12x = -6 + -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.
84 + 12x + 3x = -6 + -3x + 3x

Combine like terms: 12x + 3x = 15x
84 + 15x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
84 + 15x = -6 + 0
84 + 15x = -6

Add '-84' to each side of the equation.
84 + -84 + 15x = -6 + -84

Combine like terms: 84 + -84 = 0
0 + 15x = -6 + -84
15x = -6 + -84

Combine like terms: -6 + -84 = -90
15x = -90

Divide each side by '15'.
x = -6

Simplifying
x = -6

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