3(2x+12)=20(x-1)

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Solution for 3(2x+12)=20(x-1) equation: 


Simplifying
3(2x + 12) = 20(x + -1)

Reorder the terms:
3(12 + 2x) = 20(x + -1)
(12 * 3 + 2x * 3) = 20(x + -1)
(36 + 6x) = 20(x + -1)

Reorder the terms:
36 + 6x = 20(-1 + x)
36 + 6x = (-1 * 20 + x * 20)
36 + 6x = (-20 + 20x)

Solving
36 + 6x = -20 + 20x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20x' to each side of the equation.
36 + 6x + -20x = -20 + 20x + -20x

Combine like terms: 6x + -20x = -14x
36 + -14x = -20 + 20x + -20x

Combine like terms: 20x + -20x = 0
36 + -14x = -20 + 0
36 + -14x = -20

Add '-36' to each side of the equation.
36 + -36 + -14x = -20 + -36

Combine like terms: 36 + -36 = 0
0 + -14x = -20 + -36
-14x = -20 + -36

Combine like terms: -20 + -36 = -56
-14x = -56

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

Simplifying
x = 4

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