Question

Make x the subject:
a(x-b) = x

Answer 1

x =
`(ab)/(a-1)`

Explanation:

Given

a(x - b) = x ← distribute parenthesis on left side

ax - ab = x ( subtract x from both sides )

ax - x - ab = 0 ( add ab to both sides )

ax - x = ab ← factor out x from each term on the left side

x(a - 1) = ab ← divide both sides by a - 1

x =
`(ab)/(a-1)`