2x+20=3(20x-120)

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Solution for 2x+20=3(20x-120) equation:


Simplifying
2x + 20 = 3(20x + -120)

Reorder the terms:
20 + 2x = 3(20x + -120)

Reorder the terms:
20 + 2x = 3(-120 + 20x)
20 + 2x = (-120 * 3 + 20x * 3)
20 + 2x = (-360 + 60x)

Solving
20 + 2x = -360 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
20 + 2x + -60x = -360 + 60x + -60x

Combine like terms: 2x + -60x = -58x
20 + -58x = -360 + 60x + -60x

Combine like terms: 60x + -60x = 0
20 + -58x = -360 + 0
20 + -58x = -360

Add '-20' to each side of the equation.
20 + -20 + -58x = -360 + -20

Combine like terms: 20 + -20 = 0
0 + -58x = -360 + -20
-58x = -360 + -20

Combine like terms: -360 + -20 = -380
-58x = -380

Divide each side by '-58'.
x = 6.551724138

Simplifying
x = 6.551724138

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