6(n-1)=5n+4

Solution for 6(n-1)=5n+4 equation:

Simplifying
6(n + -1) = 5n + 4

Reorder the terms:
6(-1 + n) = 5n + 4
(-1 * 6 + n * 6) = 5n + 4
(-6 + 6n) = 5n + 4

Reorder the terms:
-6 + 6n = 4 + 5n

Solving
-6 + 6n = 4 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-6 + 6n + -5n = 4 + 5n + -5n

Combine like terms: 6n + -5n = 1n
-6 + 1n = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + 1n = 4 + 0
-6 + 1n = 4

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

Combine like terms: -6 + 6 = 0
0 + 1n = 4 + 6
1n = 4 + 6

Combine like terms: 4 + 6 = 10
1n = 10

Divide each side by '1'.
n = 10

Simplifying
n = 10