how to solve for x in ax+2=x+b

Question

how to solve for x in ax+2=x+b

Answer 1

ax + 2 = x + b                subtract 2 from both sides

ax = x + b - 2                 subtract x from both sides

ax - x = b - 2                  factor out x on the left side

x(a - 1) = b - 2               divide both sides by (a - 1)

x = (b - 2)/(a - 1)