If a≠b and a(x+b)=bx−c then x=

Answer 1

Given that a ≠ b and that a (x + b) = bx − c, we get the following:

ax + ab = bx - c

ax + ab - bx = - c

ax - bx = -ab - c

-bx + ax = -ab - c

+bx - ax = +ab + c

x (b - a) = ab + c

Now, note that since a ≠ b, then 0 ≠ b - a,

so we can divide by b - a without any

problems, so now we get:

x = (ab + c) / (b - a).