2x+33=3x+20

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Solution for 2x+33=3x+20 equation:


Simplifying
2x + 33 = 3x + 20

Reorder the terms:
33 + 2x = 3x + 20

Reorder the terms:
33 + 2x = 20 + 3x

Solving
33 + 2x = 20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
33 + 2x + -3x = 20 + 3x + -3x

Combine like terms: 2x + -3x = -1x
33 + -1x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
33 + -1x = 20 + 0
33 + -1x = 20

Add '-33' to each side of the equation.
33 + -33 + -1x = 20 + -33

Combine like terms: 33 + -33 = 0
0 + -1x = 20 + -33
-1x = 20 + -33

Combine like terms: 20 + -33 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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