42+(2x+10)+(3x+8)=180

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Solution for 42+(2x+10)+(3x+8)=180 equation:


Simplifying
42 + (2x + 10) + (3x + 8) = 180

Reorder the terms:
42 + (10 + 2x) + (3x + 8) = 180

Remove parenthesis around (10 + 2x)
42 + 10 + 2x + (3x + 8) = 180

Reorder the terms:
42 + 10 + 2x + (8 + 3x) = 180

Remove parenthesis around (8 + 3x)
42 + 10 + 2x + 8 + 3x = 180

Reorder the terms:
42 + 10 + 8 + 2x + 3x = 180

Combine like terms: 42 + 10 = 52
52 + 8 + 2x + 3x = 180

Combine like terms: 52 + 8 = 60
60 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
60 + 5x = 180

Solving
60 + 5x = 180

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 5x = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 5x = 180 + -60
5x = 180 + -60

Combine like terms: 180 + -60 = 120
5x = 120

Divide each side by '5'.
x = 24

Simplifying
x = 24

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