Question

What value makes the expressions equivalent? 6(3x + 5) and 15x +___ + 3x 5 11 15 30

Answer 1

Answer:

30

Explanation:

We will call the missing value a, so we can write the expression as:

6(3x + 5) = 15x + a + 3x

Applying the distributive property on the left side we get:

$\begin{gathered} (6\cdot3x)+(6\cdot5)=15x+a+3x \\ 18x+30=15x+a+3x \end{gathered}$

Then, adding like terms in the right side, we get:

$\begin{gathered} 18x+30=(15x+3x)+a \\ 18x+30=18x+a \end{gathered}$

Therefore, the expressions are equivalent if a is equal to 30.

So, the answer is 30