4(n+3)=2n+89

Solution for 4(n+3)=2n+89 equation:

Simplifying
4(n + 3) = 2n + 89

Reorder the terms:
4(3 + n) = 2n + 89
(3 * 4 + n * 4) = 2n + 89
(12 + 4n) = 2n + 89

Reorder the terms:
12 + 4n = 89 + 2n

Solving
12 + 4n = 89 + 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.
12 + 4n + -2n = 89 + 2n + -2n

Combine like terms: 4n + -2n = 2n
12 + 2n = 89 + 2n + -2n

Combine like terms: 2n + -2n = 0
12 + 2n = 89 + 0
12 + 2n = 89

Add '-12' to each side of the equation.
12 + -12 + 2n = 89 + -12

Combine like terms: 12 + -12 = 0
0 + 2n = 89 + -12
2n = 89 + -12

Combine like terms: 89 + -12 = 77
2n = 77

Divide each side by '2'.
n = 38.5

Simplifying
n = 38.5