Answer:
[tex]m=4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]4x-20=mx-5m[/tex]
First, factor out a m from the right:
[tex]4x-20=m(x-5)[/tex]
Divide both sides by x-5:
[tex]m=\frac{4x-20}{x-5}[/tex]
Factor out a 4 in the numerator:
[tex]m=\frac{4(x-5)}{x-5}[/tex]
The (x-5)s cancel. Thus:
[tex]m=4[/tex]
The value of m is 4 :)
