x(a-b)+x=

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

Simplifying
x(a + -1b) + x = 0
(a * x + -1b * x) + x = 0
(ax + -1bx) + x = 0

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

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

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

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

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

Simplifying
a = b + -1

Reorder the terms:
a = -1 + b