To solve the given equation [tex]\(-\frac{1}{3}(x-15)=-4\)[/tex], let's look at the proper sequence of operations step by step:
1. The first step is to eliminate the fraction by multiplying each side by -3. This is because multiplying by -3 will cancel out the -1/3 on the left side of the equation.
[tex]\[
-3 \cdot \left( -\frac{1}{3} (x - 15) \right) = -3 \cdot (-4)
\][/tex]
Simplifying this:
[tex]\[
(x - 15) = 12
\][/tex]
2. The next step is to isolate [tex]\(x\)[/tex] by adding 15 to each side of the equation:
[tex]\[
(x - 15) + 15 = 12 + 15
\][/tex]
Simplifying this:
[tex]\[
x = 27
\][/tex]
So, the correct sequence of operations is:
1. Multiply each side by -3
2. Add 15 to each side
Therefore, the correct answer is:
b) Multiply each side by -3 , add 15 to each side
