(a+58)+(a+72)+(23a)=180

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Solution for (a+58)+(a+72)+(23a)=180 equation: 


Simplifying
(a + 58) + (a + 72) + (23a) = 180

Reorder the terms:
(58 + a) + (a + 72) + (23a) = 180

Remove parenthesis around (58 + a)
58 + a + (a + 72) + (23a) = 180

Reorder the terms:
58 + a + (72 + a) + (23a) = 180

Remove parenthesis around (72 + a)
58 + a + 72 + a + (23a) = 180

Reorder the terms:
58 + 72 + a + a + (23a) = 180

Combine like terms: 58 + 72 = 130
130 + a + a + (23a) = 180

Combine like terms: a + a = 2a
130 + 2a + (23a) = 180

Combine like terms: 2a + (23a) = 25a
130 + 25a = 180

Solving
130 + 25a = 180

Solving for variable 'a'.

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

Add '-130' to each side of the equation.
130 + -130 + 25a = 180 + -130

Combine like terms: 130 + -130 = 0
0 + 25a = 180 + -130
25a = 180 + -130

Combine like terms: 180 + -130 = 50
25a = 50

Divide each side by '25'.
a = 2

Simplifying
a = 2

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