an+t-c=5

Solution for an+t-c=5 equation:

Simplifying
an + t + -1c = 5

Reorder the terms:
an + -1c + t = 5

Solving
an + -1c + t = 5

Solving for variable 'a'.

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

Add 'c' to each side of the equation.
an + -1c + c + t = 5 + c

Combine like terms: -1c + c = 0
an + 0 + t = 5 + c
an + t = 5 + c

Add '-1t' to each side of the equation.
an + t + -1t = 5 + c + -1t

Combine like terms: t + -1t = 0
an + 0 = 5 + c + -1t
an = 5 + c + -1t

Divide each side by 'n'.
a = 5n-1 + cn-1 + -1n-1t

Simplifying
a = 5n-1 + cn-1 + -1n-1t

Reorder the terms:
a = cn-1 + 5n-1 + -1n-1t