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

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


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

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

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

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

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

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

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

Combine like terms: 2x + 3x = 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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