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
=

1 answer

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: \[ \boxed{8} \]