3(e-1)-4(2e+3)=15

Solution for 3(e-1)-4(2e+3)=15 equation:

Simplifying
3(e + -1) + -4(2e + 3) = 15

Reorder the terms:
3(-1 + e) + -4(2e + 3) = 15
(-1 * 3 + e * 3) + -4(2e + 3) = 15
(-3 + 3e) + -4(2e + 3) = 15

Reorder the terms:
-3 + 3e + -4(3 + 2e) = 15
-3 + 3e + (3 * -4 + 2e * -4) = 15
-3 + 3e + (-12 + -8e) = 15

Reorder the terms:
-3 + -12 + 3e + -8e = 15

Combine like terms: -3 + -12 = -15
-15 + 3e + -8e = 15

Combine like terms: 3e + -8e = -5e
-15 + -5e = 15

Solving
-15 + -5e = 15

Solving for variable 'e'.

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

Add '15' to each side of the equation.
-15 + 15 + -5e = 15 + 15

Combine like terms: -15 + 15 = 0
0 + -5e = 15 + 15
-5e = 15 + 15

Combine like terms: 15 + 15 = 30
-5e = 30

Divide each side by '-5'.
e = -6

Simplifying
e = -6