Question

-3r+10=15r-8

Answer 1

To solve the equation \(-3r + 10 = 15r - 8\), follow these steps:

1. Start by moving all terms involving \(r\) to one side of the equation and constant terms to the other side. Add \(3r\) to both sides:

\[
10 = 15r + 3r - 8
\]

This simplifies to:

\[
10 = 18r - 8
\]

2. Next, add \(8\) to both sides to isolate terms with \(r\):

\[
10 + 8 = 18r
\]

This simplifies to:

\[
18 = 18r
\]

3. Finally, divide both sides by \(18\) to solve for \(r\):

\[
r = \frac{18}{18} = 1
\]

Thus, the solution is:

\[
r = 1
\]