a+(a+2)+(3a-11)+(a+13)+(2a+15)=350

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Solution for a+(a+2)+(3a-11)+(a+13)+(2a+15)=350 equation: 


Simplifying
a + (a + 2) + (3a + -11) + (a + 13) + (2a + 15) = 350

Reorder the terms:
a + (2 + a) + (3a + -11) + (a + 13) + (2a + 15) = 350

Remove parenthesis around (2 + a)
a + 2 + a + (3a + -11) + (a + 13) + (2a + 15) = 350

Reorder the terms:
a + 2 + a + (-11 + 3a) + (a + 13) + (2a + 15) = 350

Remove parenthesis around (-11 + 3a)
a + 2 + a + -11 + 3a + (a + 13) + (2a + 15) = 350

Reorder the terms:
a + 2 + a + -11 + 3a + (13 + a) + (2a + 15) = 350

Remove parenthesis around (13 + a)
a + 2 + a + -11 + 3a + 13 + a + (2a + 15) = 350

Reorder the terms:
a + 2 + a + -11 + 3a + 13 + a + (15 + 2a) = 350

Remove parenthesis around (15 + 2a)
a + 2 + a + -11 + 3a + 13 + a + 15 + 2a = 350

Reorder the terms:
2 + -11 + 13 + 15 + a + a + 3a + a + 2a = 350

Combine like terms: 2 + -11 = -9
-9 + 13 + 15 + a + a + 3a + a + 2a = 350

Combine like terms: -9 + 13 = 4
4 + 15 + a + a + 3a + a + 2a = 350

Combine like terms: 4 + 15 = 19
19 + a + a + 3a + a + 2a = 350

Combine like terms: a + a = 2a
19 + 2a + 3a + a + 2a = 350

Combine like terms: 2a + 3a = 5a
19 + 5a + a + 2a = 350

Combine like terms: 5a + a = 6a
19 + 6a + 2a = 350

Combine like terms: 6a + 2a = 8a
19 + 8a = 350

Solving
19 + 8a = 350

Solving for variable 'a'.

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

Add '-19' to each side of the equation.
19 + -19 + 8a = 350 + -19

Combine like terms: 19 + -19 = 0
0 + 8a = 350 + -19
8a = 350 + -19

Combine like terms: 350 + -19 = 331
8a = 331

Divide each side by '8'.
a = 41.375

Simplifying
a = 41.375

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