3x-20=2x+30

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Solution for 3x-20=2x+30 equation:


Simplifying
3x + -20 = 2x + 30

Reorder the terms:
-20 + 3x = 2x + 30

Reorder the terms:
-20 + 3x = 30 + 2x

Solving
-20 + 3x = 30 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 3x + -2x = 30 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-20 + 1x = 30 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 1x = 30 + 0
-20 + 1x = 30

Add '20' to each side of the equation.
-20 + 20 + 1x = 30 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 30 + 20
1x = 30 + 20

Combine like terms: 30 + 20 = 50
1x = 50

Divide each side by '1'.
x = 50

Simplifying
x = 50

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