Question

(ax-bx)/(x+c)=d solve for x

Answer 1

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

Explanation:

Given

`(ax-bx)/(x+c)` = d ← multiply both sides by (x + c)

ax - bx = d(x + c) ← distribute parenthesis

ax - bx = dx + cd ( subtract dx from both sides )

ax - bx - dx = cd ← factor out x from each term on the left side

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

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

Answer 2

Explanation:

(ax-bx)/(x+c)=d

ax - bx = d * (x+c)

ax - bx = dx + cd

ax - bx - dx = cd

x * (a-b-d) = cd

x = cd/(a-b-d)