Question

To solve the equation, Antwan uses the distributive property, combines like terms, then uses the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible values of the constant after Antwan has completed these steps? 3 (one-third x + 1) + 4 = negative 1 minus 4 (x + 3) –3 or 3 –3 or 5 –20 or 5 –20 or 20

Answer 1

Answer:

D.) -20 or 20

Step-by-step explanation:

I just took the Unit Test.

Answer 2

Answer:

The value of x is $-\frac{28}{5}$.

Step-by-step explanation:

The distributive property is:

a (b + c) = a · b + a · c

The expression is:

$3(\frac{1}{3}x+1)+4=-1-4(x+3)-3$

Solve using the distributive property as follows:

$3(\frac{1}{3}x+1)+4=-1-4(x+3)-3$

$(3\cdot \frac{1}{3}x)+(3\cdot 4)=-1-(4\cdot x)-(4\cdot 3)-3\\\\x+12=-1-4x-12-3\\\\x+4x=-16-12\\\\5x=-28\\\\x=\frac{-28}{5}$

Thus, the value of x is $-\frac{28}{5}$.