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
=

1 answer

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:

\[ \boxed{4} \]