5n+3=z(n+2)-3n

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

Simplifying
5n + 3 = z(n + 2) + -3n

Reorder the terms:
3 + 5n = z(n + 2) + -3n

Reorder the terms:
3 + 5n = z(2 + n) + -3n
3 + 5n = (2 * z + n * z) + -3n

Reorder the terms:
3 + 5n = (nz + 2z) + -3n
3 + 5n = (nz + 2z) + -3n

Reorder the terms:
3 + 5n = -3n + nz + 2z

Solving
3 + 5n = -3n + nz + 2z

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
3 + 5n + 3n = -3n + nz + 3n + 2z

Combine like terms: 5n + 3n = 8n
3 + 8n = -3n + nz + 3n + 2z

Reorder the terms:
3 + 8n = -3n + 3n + nz + 2z

Combine like terms: -3n + 3n = 0
3 + 8n = 0 + nz + 2z
3 + 8n = nz + 2z

Add '-1nz' to each side of the equation.
3 + 8n + -1nz = nz + -1nz + 2z

Combine like terms: nz + -1nz = 0
3 + 8n + -1nz = 0 + 2z
3 + 8n + -1nz = 2z

Add '-3' to each side of the equation.
3 + 8n + -3 + -1nz = -3 + 2z

Reorder the terms:
3 + -3 + 8n + -1nz = -3 + 2z

Combine like terms: 3 + -3 = 0
0 + 8n + -1nz = -3 + 2z
8n + -1nz = -3 + 2z

Reorder the terms:
3 + 8n + -1nz + -2z = -3 + 2z + 3 + -2z

Reorder the terms:
3 + 8n + -1nz + -2z = -3 + 3 + 2z + -2z

Combine like terms: -3 + 3 = 0
3 + 8n + -1nz + -2z = 0 + 2z + -2z
3 + 8n + -1nz + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0
3 + 8n + -1nz + -2z = 0

The solution to this equation could not be determined.