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

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

Simplifying
2(5 + 3e) = 4(2e)
(5 * 2 + 3e * 2) = 4(2e)
(10 + 6e) = 4(2e)

Remove parenthesis around (2e)
10 + 6e = 4 * 2e

Multiply 4 * 2
10 + 6e = 8e

Solving
10 + 6e = 8e

Solving for variable 'e'.

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

Add '-8e' to each side of the equation.
10 + 6e + -8e = 8e + -8e

Combine like terms: 6e + -8e = -2e
10 + -2e = 8e + -8e

Combine like terms: 8e + -8e = 0
10 + -2e = 0

Add '-10' to each side of the equation.
10 + -10 + -2e = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2e = 0 + -10
-2e = 0 + -10

Combine like terms: 0 + -10 = -10
-2e = -10

Divide each side by '-2'.
e = 5

Simplifying
e = 5