5(x+6)=-12(x-11)

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Solution for 5(x+6)=-12(x-11) equation:


Simplifying
5(x + 6) = -12(x + -11)

Reorder the terms:
5(6 + x) = -12(x + -11)
(6 * 5 + x * 5) = -12(x + -11)
(30 + 5x) = -12(x + -11)

Reorder the terms:
30 + 5x = -12(-11 + x)
30 + 5x = (-11 * -12 + x * -12)
30 + 5x = (132 + -12x)

Solving
30 + 5x = 132 + -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.
30 + 5x + 12x = 132 + -12x + 12x

Combine like terms: 5x + 12x = 17x
30 + 17x = 132 + -12x + 12x

Combine like terms: -12x + 12x = 0
30 + 17x = 132 + 0
30 + 17x = 132

Add '-30' to each side of the equation.
30 + -30 + 17x = 132 + -30

Combine like terms: 30 + -30 = 0
0 + 17x = 132 + -30
17x = 132 + -30

Combine like terms: 132 + -30 = 102
17x = 102

Divide each side by '17'.
x = 6

Simplifying
x = 6

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