a+(a+7)+(3a-2)=180

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Solution for a+(a+7)+(3a-2)=180 equation: 


Simplifying
a + (a + 7) + (3a + -2) = 180

Reorder the terms:
a + (7 + a) + (3a + -2) = 180

Remove parenthesis around (7 + a)
a + 7 + a + (3a + -2) = 180

Reorder the terms:
a + 7 + a + (-2 + 3a) = 180

Remove parenthesis around (-2 + 3a)
a + 7 + a + -2 + 3a = 180

Reorder the terms:
7 + -2 + a + a + 3a = 180

Combine like terms: 7 + -2 = 5
5 + a + a + 3a = 180

Combine like terms: a + a = 2a
5 + 2a + 3a = 180

Combine like terms: 2a + 3a = 5a
5 + 5a = 180

Solving
5 + 5a = 180

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 5a = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 5a = 180 + -5
5a = 180 + -5

Combine like terms: 180 + -5 = 175
5a = 175

Divide each side by '5'.
a = 35

Simplifying
a = 35

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