3(n-2)+x(n+1)=5n+y

Solution for 3(n-2)+x(n+1)=5n+y equation:

Simplifying
3(n + -2) + x(n + 1) = 5n + y

Reorder the terms:
3(-2 + n) + x(n + 1) = 5n + y
(-2 * 3 + n * 3) + x(n + 1) = 5n + y
(-6 + 3n) + x(n + 1) = 5n + y

Reorder the terms:
-6 + 3n + x(1 + n) = 5n + y
-6 + 3n + (1 * x + n * x) = 5n + y

Reorder the terms:
-6 + 3n + (nx + 1x) = 5n + y
-6 + 3n + (nx + 1x) = 5n + y

Solving
-6 + 3n + nx + 1x = 5n + y

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 + 3n + nx + -5n + 1x = 5n + -5n + y

Reorder the terms:
-6 + 3n + -5n + nx + 1x = 5n + -5n + y

Combine like terms: 3n + -5n = -2n
-6 + -2n + nx + 1x = 5n + -5n + y

Combine like terms: 5n + -5n = 0
-6 + -2n + nx + 1x = 0 + y
-6 + -2n + nx + 1x = y

Add '6' to each side of the equation.
-6 + -2n + nx + 6 + 1x = 6 + y

Reorder the terms:
-6 + 6 + -2n + nx + 1x = 6 + y

Combine like terms: -6 + 6 = 0
0 + -2n + nx + 1x = 6 + y
-2n + nx + 1x = 6 + y

Add '-1x' to each side of the equation.
-2n + nx + 1x + -1x = 6 + -1x + y

Combine like terms: 1x + -1x = 0
-2n + nx + 0 = 6 + -1x + y
-2n + nx = 6 + -1x + y

Reorder the terms:
-6 + -2n + nx + x + -1y = 6 + -1x + y + -6 + x + -1y

Reorder the terms:
-6 + -2n + nx + x + -1y = 6 + -6 + -1x + x + y + -1y

Combine like terms: 6 + -6 = 0
-6 + -2n + nx + x + -1y = 0 + -1x + x + y + -1y
-6 + -2n + nx + x + -1y = -1x + x + y + -1y

Combine like terms: -1x + x = 0
-6 + -2n + nx + x + -1y = 0 + y + -1y
-6 + -2n + nx + x + -1y = y + -1y

Combine like terms: y + -1y = 0
-6 + -2n + nx + x + -1y = 0

The solution to this equation could not be determined.