3x+40=5x-20

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


Simplifying
3x + 40 = 5x + -20

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

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

Solving
40 + 3x = -20 + 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.
40 + 3x + -5x = -20 + 5x + -5x

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

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

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

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

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

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

Simplifying
x = 30

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