2(a+3)+4(a+5)=86

Solution for 2(a+3)+4(a+5)=86 equation:

Simplifying
2(a + 3) + 4(a + 5) = 86

Reorder the terms:
2(3 + a) + 4(a + 5) = 86
(3 * 2 + a * 2) + 4(a + 5) = 86
(6 + 2a) + 4(a + 5) = 86

Reorder the terms:
6 + 2a + 4(5 + a) = 86
6 + 2a + (5 * 4 + a * 4) = 86
6 + 2a + (20 + 4a) = 86

Reorder the terms:
6 + 20 + 2a + 4a = 86

Combine like terms: 6 + 20 = 26
26 + 2a + 4a = 86

Combine like terms: 2a + 4a = 6a
26 + 6a = 86

Solving
26 + 6a = 86

Solving for variable 'a'.

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

Add '-26' to each side of the equation.
26 + -26 + 6a = 86 + -26

Combine like terms: 26 + -26 = 0
0 + 6a = 86 + -26
6a = 86 + -26

Combine like terms: 86 + -26 = 60
6a = 60

Divide each side by '6'.
a = 10

Simplifying
a = 10