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

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


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

Reorder the terms:
-2(-2 + x) = 12(x + 5)
(-2 * -2 + x * -2) = 12(x + 5)
(4 + -2x) = 12(x + 5)

Reorder the terms:
4 + -2x = 12(5 + x)
4 + -2x = (5 * 12 + x * 12)
4 + -2x = (60 + 12x)

Solving
4 + -2x = 60 + 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.
4 + -2x + -12x = 60 + 12x + -12x

Combine like terms: -2x + -12x = -14x
4 + -14x = 60 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + -14x = 60 + 0
4 + -14x = 60

Add '-4' to each side of the equation.
4 + -4 + -14x = 60 + -4

Combine like terms: 4 + -4 = 0
0 + -14x = 60 + -4
-14x = 60 + -4

Combine like terms: 60 + -4 = 56
-14x = 56

Divide each side by '-14'.
x = -4

Simplifying
x = -4

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