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.
Jane's miles
=
Charlie's miles

10+10x
=
30+5x
−
5x
−
5x

10 + 5x
=
30
−
10
−
10

5x
=
20

x
=

Answer 1

To isolate \( x \) in the equation, let's go through the given steps and calculations step-by-step.

Starting with your original equation:

\[
10 + 10x = 30 + 5x
\]

To keep \( x \) terms on the left side, subtract \( 5x \) from both sides:

\[
10 + 10x - 5x = 30
\]

This simplifies to:

\[
10 + 5x = 30
\]

Next, subtract 10 from both sides:

\[
5x = 30 - 10
\]

This simplifies to:

\[
5x = 20
\]

Now, to solve for \( x \), divide both sides by 5:

\[
x = \frac{20}{5}
\]

This gives:

\[
x = 4
\]

So, the final value for \( x \) is:

\[
\boxed{4}
\]