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

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

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

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

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

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

Solving
-6 + 4a + -2e = e

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 4a + 6 + -2e = 6 + e

Reorder the terms:
-6 + 6 + 4a + -2e = 6 + e

Combine like terms: -6 + 6 = 0
0 + 4a + -2e = 6 + e
4a + -2e = 6 + e

Add '2e' to each side of the equation.
4a + -2e + 2e = 6 + e + 2e

Combine like terms: -2e + 2e = 0
4a + 0 = 6 + e + 2e
4a = 6 + e + 2e

Combine like terms: e + 2e = 3e
4a = 6 + 3e

Divide each side by '4'.
a = 1.5 + 0.75e

Simplifying
a = 1.5 + 0.75e