30=a+(2a+3)+(a+7)

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Solution for 30=a+(2a+3)+(a+7) equation: 


Simplifying
30 = a + (2a + 3) + (a + 7)

Reorder the terms:
30 = a + (3 + 2a) + (a + 7)

Remove parenthesis around (3 + 2a)
30 = a + 3 + 2a + (a + 7)

Reorder the terms:
30 = a + 3 + 2a + (7 + a)

Remove parenthesis around (7 + a)
30 = a + 3 + 2a + 7 + a

Reorder the terms:
30 = 3 + 7 + a + 2a + a

Combine like terms: 3 + 7 = 10
30 = 10 + a + 2a + a

Combine like terms: a + 2a = 3a
30 = 10 + 3a + a

Combine like terms: 3a + a = 4a
30 = 10 + 4a

Solving
30 = 10 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
30 + -4a = 10 + 4a + -4a

Combine like terms: 4a + -4a = 0
30 + -4a = 10 + 0
30 + -4a = 10

Add '-30' to each side of the equation.
30 + -30 + -4a = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -4a = 10 + -30
-4a = 10 + -30

Combine like terms: 10 + -30 = -20
-4a = -20

Divide each side by '-4'.
a = 5

Simplifying
a = 5

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