3(e+2)=2(e+7)+4

Solution for 3(e+2)=2(e+7)+4 equation:

Simplifying
3(e + 2) = 2(e + 7) + 4

Reorder the terms:
3(2 + e) = 2(e + 7) + 4
(2 * 3 + e * 3) = 2(e + 7) + 4
(6 + 3e) = 2(e + 7) + 4

Reorder the terms:
6 + 3e = 2(7 + e) + 4
6 + 3e = (7 * 2 + e * 2) + 4
6 + 3e = (14 + 2e) + 4

Reorder the terms:
6 + 3e = 14 + 4 + 2e

Combine like terms: 14 + 4 = 18
6 + 3e = 18 + 2e

Solving
6 + 3e = 18 + 2e

Solving for variable 'e'.

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

Add '-2e' to each side of the equation.
6 + 3e + -2e = 18 + 2e + -2e

Combine like terms: 3e + -2e = 1e
6 + 1e = 18 + 2e + -2e

Combine like terms: 2e + -2e = 0
6 + 1e = 18 + 0
6 + 1e = 18

Add '-6' to each side of the equation.
6 + -6 + 1e = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 1e = 18 + -6
1e = 18 + -6

Combine like terms: 18 + -6 = 12
1e = 12

Divide each side by '1'.
e = 12

Simplifying
e = 12