Question

There are many ways you could solve this equation. We need to get s alone on one side, and a constant number alone on the other side. Since s is inside the parentheses on the left, we can use the distributive property to rewrite the equation without parentheses. Go for it. Distribute the
5
1
​
to 5s−15. You can think of this as (5s−15) is being multiplied by
5
1
​
.
5
1
​
(5s − 15) = 9s + 9
= 9s + 9

Answer 1

To solve the equation \( 5(5s - 15) = 9s + 9 \), we start by distributing the 5 on the left side of the equation.

1. Distribute the 5:
\[
5(5s - 15) = 5 \cdot 5s - 5 \cdot 15 = 25s - 75
\]

So the equation now looks like:
\[
25s - 75 = 9s + 9
\]

2. Next, we want to isolate \( s \) on one side. Start by moving the \( 9s \) from the right side to the left side. To do this, subtract \( 9s \) from both sides:
\[
25s - 9s - 75 = 9
\]

This simplifies to:
\[
16s - 75 = 9
\]

3. Now, add \( 75 \) to both sides to isolate the term with \( s \):
\[
16s = 9 + 75
\]

Which simplifies to:
\[
16s = 84
\]

4. Finally, divide both sides by \( 16 \) to solve for \( s \):
\[
s = \frac{84}{16}
\]

This can be simplified:
\[
s = \frac{21}{4} \quad \text{or} \quad s = 5.25
\]

Thus, the solution to the equation is:
\[
s = \frac{21}{4} \text{ or } s = 5.25
\]