Verified Answer :

y-5=m(x-2)
y-5=mx-2m
y-5+2m=mx
so x=(y-5+2m)/m

hope you got it

Answer:

The value of the equation for x is \(x=\frac{y - 5}{m}+2\).

Step-by-step explanation:

Consider the provided equation.

\(y - 5 = m(x-2)\)

We need to solve the equation for x.

Divide both the side by m.

\(\frac{y - 5}{m} =\frac{m(x-2)}{m}\)

\(\frac{y - 5}{m} =x-2\)

Add 2 from both the side.

\(\frac{y - 5}{m}+2 =x\)

Hence, the value of the equation for x is \(x=\frac{y - 5}{m}+2\).