20(x+3)-15*x=12(x-2)

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Solution for 20(x+3)-15*x=12(x-2) equation: 


Simplifying
20(x + 3) + -15x = 12(x + -2)

Reorder the terms:
20(3 + x) + -15x = 12(x + -2)
(3 * 20 + x * 20) + -15x = 12(x + -2)
(60 + 20x) + -15x = 12(x + -2)

Combine like terms: 20x + -15x = 5x
60 + 5x = 12(x + -2)

Reorder the terms:
60 + 5x = 12(-2 + x)
60 + 5x = (-2 * 12 + x * 12)
60 + 5x = (-24 + 12x)

Solving
60 + 5x = -24 + 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.
60 + 5x + -12x = -24 + 12x + -12x

Combine like terms: 5x + -12x = -7x
60 + -7x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
60 + -7x = -24 + 0
60 + -7x = -24

Add '-60' to each side of the equation.
60 + -60 + -7x = -24 + -60

Combine like terms: 60 + -60 = 0
0 + -7x = -24 + -60
-7x = -24 + -60

Combine like terms: -24 + -60 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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