(3x+19)+(2x+33)=180

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Solution for (3x+19)+(2x+33)=180 equation:


Simplifying
(3x + 19) + (2x + 33) = 180

Reorder the terms:
(19 + 3x) + (2x + 33) = 180

Remove parenthesis around (19 + 3x)
19 + 3x + (2x + 33) = 180

Reorder the terms:
19 + 3x + (33 + 2x) = 180

Remove parenthesis around (33 + 2x)
19 + 3x + 33 + 2x = 180

Reorder the terms:
19 + 33 + 3x + 2x = 180

Combine like terms: 19 + 33 = 52
52 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
52 + 5x = 180

Solving
52 + 5x = 180

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 5x = 180 + -52

Combine like terms: 52 + -52 = 0
0 + 5x = 180 + -52
5x = 180 + -52

Combine like terms: 180 + -52 = 128
5x = 128

Divide each side by '5'.
x = 25.6

Simplifying
x = 25.6

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