2a+3(5+7a)=5a-39

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Solution for 2a+3(5+7a)=5a-39 equation:


Simplifying
2a + 3(5 + 7a) = 5a + -39
2a + (5 * 3 + 7a * 3) = 5a + -39
2a + (15 + 21a) = 5a + -39

Reorder the terms:
15 + 2a + 21a = 5a + -39

Combine like terms: 2a + 21a = 23a
15 + 23a = 5a + -39

Reorder the terms:
15 + 23a = -39 + 5a

Solving
15 + 23a = -39 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
15 + 23a + -5a = -39 + 5a + -5a

Combine like terms: 23a + -5a = 18a
15 + 18a = -39 + 5a + -5a

Combine like terms: 5a + -5a = 0
15 + 18a = -39 + 0
15 + 18a = -39

Add '-15' to each side of the equation.
15 + -15 + 18a = -39 + -15

Combine like terms: 15 + -15 = 0
0 + 18a = -39 + -15
18a = -39 + -15

Combine like terms: -39 + -15 = -54
18a = -54

Divide each side by '18'.
a = -3

Simplifying
a = -3

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