Question

4\left(x-4\right)=x-13 solve using inverse operations

Answer 1

To solve the equation \(4(x - 4) = x - 13\) using inverse operations, we will go through the following steps:

1. **Distribute the 4** on the left side of the equation:
\[
4x - 16 = x - 13
\]

2. **Isolate the variable \(x\)**. To do this, we can start by subtracting \(x\) from both sides:
\[
4x - x - 16 = -13
\]
This simplifies to:
\[
3x - 16 = -13
\]

3. **Next, we will add 16 to both sides** to isolate the term with \(x\):
\[
3x - 16 + 16 = -13 + 16
\]
This gives us:
\[
3x = 3
\]

4. **Finally, divide both sides by 3** to solve for \(x\):
\[
x = 1
\]

So the solution is:
\[
\boxed{1}
\]