Question

Keep going. Make a balanced move so that x is alone on the left, and then rewrite the equation to solve for the value of x.
Olivia's miles
=
Addison's miles

60+20x
=
90+10x
−
10x
−
10x

60 + 10x
=
90
−
60
−
60

10x
=
30

x
=

Answer 1

Let's break down the steps you're following to solve the equation and find the value of \( x \).

1. Start with the equation:
\[
60 + 20x = 90 + 10x
\]

2. To isolate \( x \) on one side, subtract \( 10x \) from both sides:
\[
60 + 20x - 10x = 90 + 10x - 10x
\]
This simplifies to:
\[
60 + 10x = 90
\]

3. Next, subtract 60 from both sides:
\[
60 - 60 + 10x = 90 - 60
\]
This simplifies to:
\[
10x = 30
\]

4. Finally, divide both sides by 10 to solve for \( x \):
\[
x = \frac{30}{10}
\]
Thus:
\[
x = 3
\]

Therefore, the solution for \( x \) is:
\[
\boxed{3}
\]