(2x+42)+(x-24)=180

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Solution for (2x+42)+(x-24)=180 equation: 


Simplifying
(2x + 42) + (x + -24) = 180

Reorder the terms:
(42 + 2x) + (x + -24) = 180

Remove parenthesis around (42 + 2x)
42 + 2x + (x + -24) = 180

Reorder the terms:
42 + 2x + (-24 + x) = 180

Remove parenthesis around (-24 + x)
42 + 2x + -24 + x = 180

Reorder the terms:
42 + -24 + 2x + x = 180

Combine like terms: 42 + -24 = 18
18 + 2x + x = 180

Combine like terms: 2x + x = 3x
18 + 3x = 180

Solving
18 + 3x = 180

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 3x = 180 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = 180 + -18
3x = 180 + -18

Combine like terms: 180 + -18 = 162
3x = 162

Divide each side by '3'.
x = 54

Simplifying
x = 54

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