Question

Solve the equation ax + 1 = bx for 'x'. Please be sure to include all steps.

Answer 1

ax + 1 = bx for x

ax + 1 = bx
ax - bx = -1
x(a-b) = -1
x = -1 /(a-b)

Answer 2

ax + 1 = bx
1 = bx - ax <-- Subtract ax both each side
1 = x(b - a)
1/(b - a) = x <-- Divide both sides by b - a

So, x is equal to 1/(b - a).