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

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

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

Combine like terms: 5 + 3 = 8
2(8) + 2(4 + 3) + 5(3) = a

Multiply 2 * 8
16 + 2(4 + 3) + 5(3) = a

Combine like terms: 4 + 3 = 7
16 + 2(7) + 5(3) = a

Multiply 2 * 7
16 + 14 + 5(3) = a

Multiply 5 * 3
16 + 14 + 15 = a

Combine like terms: 16 + 14 = 30
30 + 15 = a

Combine like terms: 30 + 15 = 45
45 = a

Solving
45 = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
45 + -1a = a + -1a

Combine like terms: a + -1a = 0
45 + -1a = 0

Add '-45' to each side of the equation.
45 + -45 + -1a = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1a = 0 + -45
-1a = 0 + -45

Combine like terms: 0 + -45 = -45
-1a = -45

Divide each side by '-1'.
a = 45

Simplifying
a = 45