5(3x+12)=3x-20

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Solution for 5(3x+12)=3x-20 equation:


Simplifying
5(3x + 12) = 3x + -20

Reorder the terms:
5(12 + 3x) = 3x + -20
(12 * 5 + 3x * 5) = 3x + -20
(60 + 15x) = 3x + -20

Reorder the terms:
60 + 15x = -20 + 3x

Solving
60 + 15x = -20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
60 + 15x + -3x = -20 + 3x + -3x

Combine like terms: 15x + -3x = 12x
60 + 12x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
60 + 12x = -20 + 0
60 + 12x = -20

Add '-60' to each side of the equation.
60 + -60 + 12x = -20 + -60

Combine like terms: 60 + -60 = 0
0 + 12x = -20 + -60
12x = -20 + -60

Combine like terms: -20 + -60 = -80
12x = -80

Divide each side by '12'.
x = -6.666666667

Simplifying
x = -6.666666667

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