how do i rearrange mx+n=px+q to get x?

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the equation:

mx+n=px+q

Solve for x.

Solution:

In order to sovle for x, we first transpose px and n to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.

mx + n = px + q

mx - px = q - n

Factor out x in the equation mx  - px.

x ( m - p ) = q - n

Divide both sides by  m - p in order to determine the value of x.

x ( m - p )/( m - p ) = q - n/ m - p

x = (q - n)/(m - p)

Final answer:

x = (q - n)/(m - p)