3(2e+3)=5(2e+1)

Solution for 3(2e+3)=5(2e+1) equation:

Simplifying
3(2e + 3) = 5(2e + 1)

Reorder the terms:
3(3 + 2e) = 5(2e + 1)
(3 * 3 + 2e * 3) = 5(2e + 1)
(9 + 6e) = 5(2e + 1)

Reorder the terms:
9 + 6e = 5(1 + 2e)
9 + 6e = (1 * 5 + 2e * 5)
9 + 6e = (5 + 10e)

Solving
9 + 6e = 5 + 10e

Solving for variable 'e'.

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

Add '-10e' to each side of the equation.
9 + 6e + -10e = 5 + 10e + -10e

Combine like terms: 6e + -10e = -4e
9 + -4e = 5 + 10e + -10e

Combine like terms: 10e + -10e = 0
9 + -4e = 5 + 0
9 + -4e = 5

Add '-9' to each side of the equation.
9 + -9 + -4e = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -4e = 5 + -9
-4e = 5 + -9

Combine like terms: 5 + -9 = -4
-4e = -4

Divide each side by '-4'.
e = 1

Simplifying
e = 1