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

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

Simplifying
2(a + 5) + 3(4 + -1a) = 0

Reorder the terms:
2(5 + a) + 3(4 + -1a) = 0
(5 * 2 + a * 2) + 3(4 + -1a) = 0
(10 + 2a) + 3(4 + -1a) = 0
10 + 2a + (4 * 3 + -1a * 3) = 0
10 + 2a + (12 + -3a) = 0

Reorder the terms:
10 + 12 + 2a + -3a = 0

Combine like terms: 10 + 12 = 22
22 + 2a + -3a = 0

Combine like terms: 2a + -3a = -1a
22 + -1a = 0

Solving
22 + -1a = 0

Solving for variable 'a'.

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

Add '-22' to each side of the equation.
22 + -22 + -1a = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1a = 0 + -22
-1a = 0 + -22

Combine like terms: 0 + -22 = -22
-1a = -22

Divide each side by '-1'.
a = 22

Simplifying
a = 22