6-e+4e=3(2e+15)

Solution for 6-e+4e=3(2e+15) equation:

Simplifying
6 + -1e + 4e = 3(2e + 15)

Combine like terms: -1e + 4e = 3e
6 + 3e = 3(2e + 15)

Reorder the terms:
6 + 3e = 3(15 + 2e)
6 + 3e = (15 * 3 + 2e * 3)
6 + 3e = (45 + 6e)

Solving
6 + 3e = 45 + 6e

Solving for variable 'e'.

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

Add '-6e' to each side of the equation.
6 + 3e + -6e = 45 + 6e + -6e

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

Combine like terms: 6e + -6e = 0
6 + -3e = 45 + 0
6 + -3e = 45

Add '-6' to each side of the equation.
6 + -6 + -3e = 45 + -6

Combine like terms: 6 + -6 = 0
0 + -3e = 45 + -6
-3e = 45 + -6

Combine like terms: 45 + -6 = 39
-3e = 39

Divide each side by '-3'.
e = -13

Simplifying
e = -13