(3x-40)+(2x+11)=180

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Solution for (3x-40)+(2x+11)=180 equation:


Simplifying
(3x + -40) + (2x + 11) = 180

Reorder the terms:
(-40 + 3x) + (2x + 11) = 180

Remove parenthesis around (-40 + 3x)
-40 + 3x + (2x + 11) = 180

Reorder the terms:
-40 + 3x + (11 + 2x) = 180

Remove parenthesis around (11 + 2x)
-40 + 3x + 11 + 2x = 180

Reorder the terms:
-40 + 11 + 3x + 2x = 180

Combine like terms: -40 + 11 = -29
-29 + 3x + 2x = 180

Combine like terms: 3x + 2x = 5x
-29 + 5x = 180

Solving
-29 + 5x = 180

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 5x = 180 + 29

Combine like terms: -29 + 29 = 0
0 + 5x = 180 + 29
5x = 180 + 29

Combine like terms: 180 + 29 = 209
5x = 209

Divide each side by '5'.
x = 41.8

Simplifying
x = 41.8

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