5(2e-f)+4f=3(3e+1)

Solution for 5(2e-f)+4f=3(3e+1) equation:

Simplifying
5(2e + -1f) + 4f = 3(3e + 1)
(2e * 5 + -1f * 5) + 4f = 3(3e + 1)
(10e + -5f) + 4f = 3(3e + 1)

Combine like terms: -5f + 4f = -1f
10e + -1f = 3(3e + 1)

Reorder the terms:
10e + -1f = 3(1 + 3e)
10e + -1f = (1 * 3 + 3e * 3)
10e + -1f = (3 + 9e)

Solving
10e + -1f = 3 + 9e

Solving for variable 'e'.

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

Add '-9e' to each side of the equation.
10e + -9e + -1f = 3 + 9e + -9e

Combine like terms: 10e + -9e = 1e
1e + -1f = 3 + 9e + -9e

Combine like terms: 9e + -9e = 0
1e + -1f = 3 + 0
1e + -1f = 3

Add 'f' to each side of the equation.
1e + -1f + f = 3 + f

Combine like terms: -1f + f = 0
1e + 0 = 3 + f
1e = 3 + f

Divide each side by '1'.
e = 3 + f

Simplifying
e = 3 + f