ax+b=c-a(x-b)forx

Solution for ax+b=c-a(x-b)forx equation:

Simplifying
ax + b = c + -1a(x + -1b) * forx

Reorder the terms:
ax + b = c + -1a(-1b + x) * forx

Reorder the terms for easier multiplication:
ax + b = c + -1a * forx(-1b + x)

Multiply a * forx
ax + b = c + -1aforx(-1b + x)
ax + b = c + (-1b * -1aforx + x * -1aforx)
ax + b = c + (1abforx + -1aforx2)

Reorder the terms:
ax + b = 1abforx + -1aforx2 + c

Solving
ax + b = 1abforx + -1aforx2 + c

Solving for variable 'a'.

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

Add '-1abforx' to each side of the equation.
ax + -1abforx + b = 1abforx + -1aforx2 + -1abforx + c

Reorder the terms:
-1abforx + ax + b = 1abforx + -1aforx2 + -1abforx + c

Reorder the terms:
-1abforx + ax + b = 1abforx + -1abforx + -1aforx2 + c

Combine like terms: 1abforx + -1abforx = 0
-1abforx + ax + b = 0 + -1aforx2 + c
-1abforx + ax + b = -1aforx2 + c

Add 'aforx2' to each side of the equation.
-1abforx + ax + aforx2 + b = -1aforx2 + aforx2 + c

Reorder the terms:
-1abforx + aforx2 + ax + b = -1aforx2 + aforx2 + c

Combine like terms: -1aforx2 + aforx2 = 0
-1abforx + aforx2 + ax + b = 0 + c
-1abforx + aforx2 + ax + b = c

Add '-1b' to each side of the equation.
-1abforx + aforx2 + ax + b + -1b = -1b + c

Combine like terms: b + -1b = 0
-1abforx + aforx2 + ax + 0 = -1b + c
-1abforx + aforx2 + ax = -1b + c

Reorder the terms:
-1abforx + aforx2 + ax + b + -1c = -1b + b + c + -1c

Combine like terms: -1b + b = 0
-1abforx + aforx2 + ax + b + -1c = 0 + c + -1c
-1abforx + aforx2 + ax + b + -1c = c + -1c

Combine like terms: c + -1c = 0
-1abforx + aforx2 + ax + b + -1c = 0

The solution to this equation could not be determined.