a+(20+a)+(2a-30)=180

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Solution for a+(20+a)+(2a-30)=180 equation:


Simplifying
a + (20 + a) + (2a + -30) = 180

Remove parenthesis around (20 + a)
a + 20 + a + (2a + -30) = 180

Reorder the terms:
a + 20 + a + (-30 + 2a) = 180

Remove parenthesis around (-30 + 2a)
a + 20 + a + -30 + 2a = 180

Reorder the terms:
20 + -30 + a + a + 2a = 180

Combine like terms: 20 + -30 = -10
-10 + a + a + 2a = 180

Combine like terms: a + a = 2a
-10 + 2a + 2a = 180

Combine like terms: 2a + 2a = 4a
-10 + 4a = 180

Solving
-10 + 4a = 180

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + 10 + 4a = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 4a = 180 + 10
4a = 180 + 10

Combine like terms: 180 + 10 = 190
4a = 190

Divide each side by '4'.
a = 47.5

Simplifying
a = 47.5

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