2(3+4e)-9=45

Solution for 2(3+4e)-9=45 equation:

Simplifying
2(3 + 4e) + -9 = 45
(3 * 2 + 4e * 2) + -9 = 45
(6 + 8e) + -9 = 45

Reorder the terms:
6 + -9 + 8e = 45

Combine like terms: 6 + -9 = -3
-3 + 8e = 45

Solving
-3 + 8e = 45

Solving for variable 'e'.

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

Add '3' to each side of the equation.
-3 + 3 + 8e = 45 + 3

Combine like terms: -3 + 3 = 0
0 + 8e = 45 + 3
8e = 45 + 3

Combine like terms: 45 + 3 = 48
8e = 48

Divide each side by '8'.
e = 6

Simplifying
e = 6