Question

Ax + 7 = 2x + b
Find x

Answer 1

x =
`(b-7)/(a-2)`

Explanation:

Given

ax + 7 = 2x + b ( subtract 2x from both sides )

ax - 2x + 7 = b ( subtract 7 from both sides )

ax - 2x = b - 7 ← factor out x from each term on the left side

x(a - 2) = b - 7 ← divide both sides by (a - 2)

x =
`(b-7)/(a-2)`