5n+3(2n-4)=10

Solution for 5n+3(2n-4)=10 equation:

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

Reorder the terms:
5n + 3(-4 + 2n) = 10
5n + (-4 * 3 + 2n * 3) = 10
5n + (-12 + 6n) = 10

Reorder the terms:
-12 + 5n + 6n = 10

Combine like terms: 5n + 6n = 11n
-12 + 11n = 10

Solving
-12 + 11n = 10

Solving for variable 'n'.

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

Add '12' to each side of the equation.
-12 + 12 + 11n = 10 + 12

Combine like terms: -12 + 12 = 0
0 + 11n = 10 + 12
11n = 10 + 12

Combine like terms: 10 + 12 = 22
11n = 22

Divide each side by '11'.
n = 2

Simplifying
n = 2