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

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

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

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

Combine like terms: 6 + -6 = 0
0 + 2e = e + -3(1 + -2e)
2e = e + -3(1 + -2e)
2e = e + (1 * -3 + -2e * -3)
2e = e + (-3 + 6e)

Reorder the terms:
2e = -3 + e + 6e

Combine like terms: e + 6e = 7e
2e = -3 + 7e

Solving
2e = -3 + 7e

Solving for variable 'e'.

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

Add '-7e' to each side of the equation.
2e + -7e = -3 + 7e + -7e

Combine like terms: 2e + -7e = -5e
-5e = -3 + 7e + -7e

Combine like terms: 7e + -7e = 0
-5e = -3 + 0
-5e = -3

Divide each side by '-5'.
e = 0.6

Simplifying
e = 0.6