Question

Keep going to solve for x. Think about what move you could make on each side so that x is isolated on the left side of the equation. Then rewrite the equation to solve for x.
4(x−5)
=
20−x

4x − 20
=
20 − x
+
x
+
x

5x − 20
=
20
+
20
+
20
5x
=
40

x
=

Answer 1

Let's solve the equation step by step, ensuring we've clearly isolated \(x\).

1. Start with the original equation:
\[
4(x - 5) = 20 - x
\]

2. Distribute on the left side:
\[
4x - 20 = 20 - x
\]

3. To isolate \(x\), add \(x\) to both sides:
\[
4x - 20 + x = 20 - x + x
\]
This simplifies to:
\[
5x - 20 = 20
\]

4. Next, add \(20\) to both sides to eliminate the constant on the left:
\[
5x - 20 + 20 = 20 + 20
\]
This simplifies to:
\[
5x = 40
\]

5. Finally, divide both sides by \(5\) to solve for \(x\):
\[
x = \frac{40}{5}
\]
Thus, we have:
\[
x = 8
\]

So the final answer is:
\[
\boxed{8}
\]