4(n+3)=3(2n-3)+10

Solution for 4(n+3)=3(2n-3)+10 equation:

Simplifying
4(n + 3) = 3(2n + -3) + 10

Reorder the terms:
4(3 + n) = 3(2n + -3) + 10
(3 * 4 + n * 4) = 3(2n + -3) + 10
(12 + 4n) = 3(2n + -3) + 10

Reorder the terms:
12 + 4n = 3(-3 + 2n) + 10
12 + 4n = (-3 * 3 + 2n * 3) + 10
12 + 4n = (-9 + 6n) + 10

Reorder the terms:
12 + 4n = -9 + 10 + 6n

Combine like terms: -9 + 10 = 1
12 + 4n = 1 + 6n

Solving
12 + 4n = 1 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
12 + 4n + -6n = 1 + 6n + -6n

Combine like terms: 4n + -6n = -2n
12 + -2n = 1 + 6n + -6n

Combine like terms: 6n + -6n = 0
12 + -2n = 1 + 0
12 + -2n = 1

Add '-12' to each side of the equation.
12 + -12 + -2n = 1 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = 1 + -12
-2n = 1 + -12

Combine like terms: 1 + -12 = -11
-2n = -11

Divide each side by '-2'.
n = 5.5

Simplifying
n = 5.5