3(6e-2)+4(1-5e)=e

Solution for 3(6e-2)+4(1-5e)=e equation:

Simplifying
3(6e + -2) + 4(1 + -5e) = e

Reorder the terms:
3(-2 + 6e) + 4(1 + -5e) = e
(-2 * 3 + 6e * 3) + 4(1 + -5e) = e
(-6 + 18e) + 4(1 + -5e) = e
-6 + 18e + (1 * 4 + -5e * 4) = e
-6 + 18e + (4 + -20e) = e

Reorder the terms:
-6 + 4 + 18e + -20e = e

Combine like terms: -6 + 4 = -2
-2 + 18e + -20e = e

Combine like terms: 18e + -20e = -2e
-2 + -2e = e

Solving
-2 + -2e = e

Solving for variable 'e'.

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

Add '-1e' to each side of the equation.
-2 + -2e + -1e = e + -1e

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

Combine like terms: e + -1e = 0
-2 + -3e = 0

Add '2' to each side of the equation.
-2 + 2 + -3e = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3e = 0 + 2
-3e = 0 + 2

Combine like terms: 0 + 2 = 2
-3e = 2

Divide each side by '-3'.
e = -0.6666666667

Simplifying
e = -0.6666666667