2(x+8)=12(x-10)

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Solution for 2(x+8)=12(x-10) equation: 


Simplifying
2(x + 8) = 12(x + -10)

Reorder the terms:
2(8 + x) = 12(x + -10)
(8 * 2 + x * 2) = 12(x + -10)
(16 + 2x) = 12(x + -10)

Reorder the terms:
16 + 2x = 12(-10 + x)
16 + 2x = (-10 * 12 + x * 12)
16 + 2x = (-120 + 12x)

Solving
16 + 2x = -120 + 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.
16 + 2x + -12x = -120 + 12x + -12x

Combine like terms: 2x + -12x = -10x
16 + -10x = -120 + 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -10x = -120 + 0
16 + -10x = -120

Add '-16' to each side of the equation.
16 + -16 + -10x = -120 + -16

Combine like terms: 16 + -16 = 0
0 + -10x = -120 + -16
-10x = -120 + -16

Combine like terms: -120 + -16 = -136
-10x = -136

Divide each side by '-10'.
x = 13.6

Simplifying
x = 13.6

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