3x+20=5x-40

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Solution for 3x+20=5x-40 equation:


Simplifying
3x + 20 = 5x + -40

Reorder the terms:
20 + 3x = 5x + -40

Reorder the terms:
20 + 3x = -40 + 5x

Solving
20 + 3x = -40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + 3x + -5x = -40 + 5x + -5x

Combine like terms: 3x + -5x = -2x
20 + -2x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -2x = -40 + 0
20 + -2x = -40

Add '-20' to each side of the equation.
20 + -20 + -2x = -40 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -40 + -20
-2x = -40 + -20

Combine like terms: -40 + -20 = -60
-2x = -60

Divide each side by '-2'.
x = 30

Simplifying
x = 30

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