(2a+b)+(a+2b)=90

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Solution for (2a+b)+(a+2b)=90 equation:


Simplifying
(2a + b) + (a + 2b) = 90

Remove parenthesis around (2a + b)
2a + b + (a + 2b) = 90

Remove parenthesis around (a + 2b)
2a + b + a + 2b = 90

Reorder the terms:
2a + a + b + 2b = 90

Combine like terms: 2a + a = 3a
3a + b + 2b = 90

Combine like terms: b + 2b = 3b
3a + 3b = 90

Solving
3a + 3b = 90

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
3a + 3b + -3b = 90 + -3b

Combine like terms: 3b + -3b = 0
3a + 0 = 90 + -3b
3a = 90 + -3b

Divide each side by '3'.
a = 30 + -1b

Simplifying
a = 30 + -1b

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