Question

Step by step

ax+b=cx+d, for x

Answer 1

x =
`(d-b)/(a-c)`

Explanation:

gven

ax + b = cx + d ( subtract cx from both sides )

ax - cx + b = cx - cx + d ( simplify both sides )

ax - cx + b = d ( subtract b from both sides )

ax - cx + b - b = d - b ( simplify )

ax - cx = d - b ← factor out x from each term on the left side )

x(a - c) = d - b ← divide both sides by (a - c )

x
`(a-c)/(a-c)` =
`(d-b)/(a-c)` , that is

x =
`(d-b)/(a-c)`