3(x-36)=12(20x-5)

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Solution for 3(x-36)=12(20x-5) equation:


Simplifying
3(x + -36) = 12(20x + -5)

Reorder the terms:
3(-36 + x) = 12(20x + -5)
(-36 * 3 + x * 3) = 12(20x + -5)
(-108 + 3x) = 12(20x + -5)

Reorder the terms:
-108 + 3x = 12(-5 + 20x)
-108 + 3x = (-5 * 12 + 20x * 12)
-108 + 3x = (-60 + 240x)

Solving
-108 + 3x = -60 + 240x

Solving for variable 'x'.

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

Add '-240x' to each side of the equation.
-108 + 3x + -240x = -60 + 240x + -240x

Combine like terms: 3x + -240x = -237x
-108 + -237x = -60 + 240x + -240x

Combine like terms: 240x + -240x = 0
-108 + -237x = -60 + 0
-108 + -237x = -60

Add '108' to each side of the equation.
-108 + 108 + -237x = -60 + 108

Combine like terms: -108 + 108 = 0
0 + -237x = -60 + 108
-237x = -60 + 108

Combine like terms: -60 + 108 = 48
-237x = 48

Divide each side by '-237'.
x = -0.2025316456

Simplifying
x = -0.2025316456

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