2(a+5)+5(a+2)=-15

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Solution for 2(a+5)+5(a+2)=-15 equation:


Simplifying
2(a + 5) + 5(a + 2) = -15

Reorder the terms:
2(5 + a) + 5(a + 2) = -15
(5 * 2 + a * 2) + 5(a + 2) = -15
(10 + 2a) + 5(a + 2) = -15

Reorder the terms:
10 + 2a + 5(2 + a) = -15
10 + 2a + (2 * 5 + a * 5) = -15
10 + 2a + (10 + 5a) = -15

Reorder the terms:
10 + 10 + 2a + 5a = -15

Combine like terms: 10 + 10 = 20
20 + 2a + 5a = -15

Combine like terms: 2a + 5a = 7a
20 + 7a = -15

Solving
20 + 7a = -15

Solving for variable 'a'.

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

Add '-20' to each side of the equation.
20 + -20 + 7a = -15 + -20

Combine like terms: 20 + -20 = 0
0 + 7a = -15 + -20
7a = -15 + -20

Combine like terms: -15 + -20 = -35
7a = -35

Divide each side by '7'.
a = -5

Simplifying
a = -5

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