(3x-33)+(2x+26)=180

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Solution for (3x-33)+(2x+26)=180 equation:


Simplifying
(3x + -33) + (2x + 26) = 180

Reorder the terms:
(-33 + 3x) + (2x + 26) = 180

Remove parenthesis around (-33 + 3x)
-33 + 3x + (2x + 26) = 180

Reorder the terms:
-33 + 3x + (26 + 2x) = 180

Remove parenthesis around (26 + 2x)
-33 + 3x + 26 + 2x = 180

Reorder the terms:
-33 + 26 + 3x + 2x = 180

Combine like terms: -33 + 26 = -7
-7 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
-7 + 5x = 180

Solving
-7 + 5x = 180

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 5x = 180 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 180 + 7
5x = 180 + 7

Combine like terms: 180 + 7 = 187
5x = 187

Divide each side by '5'.
x = 37.4

Simplifying
x = 37.4

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