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

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


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

Reorder the terms:
-4(-5 + x) = 12(3 + x)
(-5 * -4 + x * -4) = 12(3 + x)
(20 + -4x) = 12(3 + x)
20 + -4x = (3 * 12 + x * 12)
20 + -4x = (36 + 12x)

Solving
20 + -4x = 36 + 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.
20 + -4x + -12x = 36 + 12x + -12x

Combine like terms: -4x + -12x = -16x
20 + -16x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -16x = 36 + 0
20 + -16x = 36

Add '-20' to each side of the equation.
20 + -20 + -16x = 36 + -20

Combine like terms: 20 + -20 = 0
0 + -16x = 36 + -20
-16x = 36 + -20

Combine like terms: 36 + -20 = 16
-16x = 16

Divide each side by '-16'.
x = -1

Simplifying
x = -1

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