ax-(bx+c)=0

Solution for ax-(bx+c)=0 equation:

Simplifying
ax + -1(bx + c) = 0
ax + (bx * -1 + c * -1) = 0
ax + (-1bx + -1c) = 0

Solving
ax + -1bx + -1c = 0

Solving for variable 'a'.

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

Add 'bx' to each side of the equation.
ax + -1bx + bx + -1c = 0 + bx

Combine like terms: -1bx + bx = 0
ax + 0 + -1c = 0 + bx
ax + -1c = 0 + bx
Remove the zero:
ax + -1c = bx

Add 'c' to each side of the equation.
ax + -1c + c = bx + c

Combine like terms: -1c + c = 0
ax + 0 = bx + c
ax = bx + c

Divide each side by 'x'.
a = b + cx-1

Simplifying
a = b + cx-1