What value of m makes this equation true for any value of x? 6 (3-2x) - 3x=Mx+18

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

Step-by-step 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