(3x-33)=(2x+5)

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Solution for (3x-33)=(2x+5) equation:


Simplifying
(3x + -33) = (2x + 5)

Reorder the terms:
(-33 + 3x) = (2x + 5)

Remove parenthesis around (-33 + 3x)
-33 + 3x = (2x + 5)

Reorder the terms:
-33 + 3x = (5 + 2x)

Remove parenthesis around (5 + 2x)
-33 + 3x = 5 + 2x

Solving
-33 + 3x = 5 + 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.
-33 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-33 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-33 + 1x = 5 + 0
-33 + 1x = 5

Add '33' to each side of the equation.
-33 + 33 + 1x = 5 + 33

Combine like terms: -33 + 33 = 0
0 + 1x = 5 + 33
1x = 5 + 33

Combine like terms: 5 + 33 = 38
1x = 38

Divide each side by '1'.
x = 38

Simplifying
x = 38

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