(3a+4)+(a+4)+(a+7)=50

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Solution for (3a+4)+(a+4)+(a+7)=50 equation:


Simplifying
(3a + 4) + (a + 4) + (a + 7) = 50

Reorder the terms:
(4 + 3a) + (a + 4) + (a + 7) = 50

Remove parenthesis around (4 + 3a)
4 + 3a + (a + 4) + (a + 7) = 50

Reorder the terms:
4 + 3a + (4 + a) + (a + 7) = 50

Remove parenthesis around (4 + a)
4 + 3a + 4 + a + (a + 7) = 50

Reorder the terms:
4 + 3a + 4 + a + (7 + a) = 50

Remove parenthesis around (7 + a)
4 + 3a + 4 + a + 7 + a = 50

Reorder the terms:
4 + 4 + 7 + 3a + a + a = 50

Combine like terms: 4 + 4 = 8
8 + 7 + 3a + a + a = 50

Combine like terms: 8 + 7 = 15
15 + 3a + a + a = 50

Combine like terms: 3a + a = 4a
15 + 4a + a = 50

Combine like terms: 4a + a = 5a
15 + 5a = 50

Solving
15 + 5a = 50

Solving for variable 'a'.

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

Add '-15' to each side of the equation.
15 + -15 + 5a = 50 + -15

Combine like terms: 15 + -15 = 0
0 + 5a = 50 + -15
5a = 50 + -15

Combine like terms: 50 + -15 = 35
5a = 35

Divide each side by '5'.
a = 7

Simplifying
a = 7

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