The expressions D, E, and F represent a correct solution to the equation.
Step-by-step explanation:
Step 1:
First, we need to solve the given equation and find the value of x which satisfies the equation.
[tex]6(x+4)=20, (x+4) = \frac{20}{6} = 3.333,[/tex]
[tex]x = 3.333 - 4 = -0.666.[/tex]
So the value of x for the given equation is -0.666.
Step 2:
Now we evaluate the values of the six given options to see which ones have an x value of -0.666.
A. [tex]\frac{20-4}{6}= \frac{16}{6} = 2.666,[/tex]
B. [tex]\frac{1}{6} (20-4)= \frac{1}{6} (16)=\frac{16}{6} = 2.666,[/tex]
C. 20 -6 -4 = 20 - 10 = 10.
D. [tex]\frac{20}{6} -4= 3.333 - 4 = -0.666,[/tex]
E. [tex]\frac{1}{6} (20-24) = \frac{1}{6} (-4)= -0.666,[/tex]
F. [tex](20-24)\frac{1}{6} = (-4)\frac{1}{6} = -0.666.[/tex]
So the options D, E, and F represent a correct solution to the given equation.
