Add 10 to both sides to get rid of −10, so that 5s is alone on the left side of the equation.

Question

2s − 10
=
−3s − 8
+
3s
+
3s

5s − 10
=
−8
+
10
+
10

=

Answer 1

To solve the equation and isolate \(5s\) on the left side, let's work through the process step by step starting from the equation provided:

1. Start with the original equation: \[ 2s - 10 = -3s - 8 + 3s + 3s \]

2. Simplify the right side: Notice that \(-3s + 3s + 3s\) simplifies to \(3s - 3s = 0\): \[ 2s - 10 = -8 \]

3. Add 10 to both sides to eliminate \(-10\): \[ 2s - 10 + 10 = -8 + 10 \]

4. This simplifies to: \[ 2s = 2 \]

5. Now, let's solve for \(s\) by dividing both sides by 2: \[ s = 1 \]

If you've intended to stretch this work to find \(5s\), we can do so from \(s = 1\):

1. Calculate \(5s\): \[ 5s = 5 \cdot 1 = 5 \]

So, in summary, the solution yields \(2s = 2\) which further leads to \(s = 1\), and therefore \(5s = 5\).