3x+33=5x+20

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Solution for 3x+33=5x+20 equation:


Simplifying
3x + 33 = 5x + 20

Reorder the terms:
33 + 3x = 5x + 20

Reorder the terms:
33 + 3x = 20 + 5x

Solving
33 + 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.
33 + 3x + -5x = 20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
33 + -2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
33 + -2x = 20 + 0
33 + -2x = 20

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

Combine like terms: 33 + -33 = 0
0 + -2x = 20 + -33
-2x = 20 + -33

Combine like terms: 20 + -33 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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