Answer:
The value of M=-15 makes the given equation 6(3-2x)-3x=Mx+18 is true for any value of x
Therefore M=-15
Explanation:
Given equation is 6(3-2x)-3x=Mx+18
To find the value of M makes this equation true for any value of x :
6(3-2x)-3x=Mx+18
By Using the distributive property
(18-12x)-3x=Mx+18
18-12x-3x=Mx+18
Adding the like terms
18-15x=Mx+18
18-15x-Mx-18=0
-15x-Mx=0
-Mx=15x
-M=15
Therefore M=-15
The value of M=-15 makes the given equation 6(3-2x)-3x=Mx+18 is true for any value of x