6+3(e-5)=12

Solution for 6+3(e-5)=12 equation:

Simplifying
6 + 3(e + -5) = 12

Reorder the terms:
6 + 3(-5 + e) = 12
6 + (-5 * 3 + e * 3) = 12
6 + (-15 + 3e) = 12

Combine like terms: 6 + -15 = -9
-9 + 3e = 12

Solving
-9 + 3e = 12

Solving for variable 'e'.

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

Add '9' to each side of the equation.
-9 + 9 + 3e = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 3e = 12 + 9
3e = 12 + 9

Combine like terms: 12 + 9 = 21
3e = 21

Divide each side by '3'.
e = 7

Simplifying
e = 7