5(4-2n)=2(n+3)

Solution for 5(4-2n)=2(n+3) equation:

Simplifying
5(4 + -2n) = 2(n + 3)
(4 * 5 + -2n * 5) = 2(n + 3)
(20 + -10n) = 2(n + 3)

Reorder the terms:
20 + -10n = 2(3 + n)
20 + -10n = (3 * 2 + n * 2)
20 + -10n = (6 + 2n)

Solving
20 + -10n = 6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
20 + -10n + -2n = 6 + 2n + -2n

Combine like terms: -10n + -2n = -12n
20 + -12n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
20 + -12n = 6 + 0
20 + -12n = 6

Add '-20' to each side of the equation.
20 + -20 + -12n = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -12n = 6 + -20
-12n = 6 + -20

Combine like terms: 6 + -20 = -14
-12n = -14

Divide each side by '-12'.
n = 1.166666667

Simplifying
n = 1.166666667