4. $$ 8-2 x=5(x-2) $$ Which step is not part of solving the problem? Ax A $$ \quad 18=7 x $$ B C $$ \quad 8=7 x-10 $$ $$ 8-2 x=5 x-2 $$ $$ 8-2 x=5 x-10 $$

Question

UpStudy AI · Accepted Answer

To determine which step is **not** part of solving the equation $$8 - 2x = 5(x - 2)$$, let's go through the correct steps of solving the equation:

1. **Expand the right side:**
   $$
   8 - 2x = 5x - 10
   $$
   
2. **Move all $$x$$-terms to one side and constants to the other:**
   $$
   8 = 7x - 10
   $$
   
3. **Isolate $$x$$:**
   $$
   18 = 7x \quad \Rightarrow \quad x = \frac{18}{7}
   $$

Now, let's examine the provided options:

- **A.** $$18 = 7x$$  
  *This is a correct step in the solving process.*

- **B.** $$8 = 7x - 10$$  
  *This is also a correct intermediate step.*

- **C.** $$8 - 2x = 5x - 2$$  
  *This is **incorrect**. The correct expansion of $$5(x - 2)$$ is $$5x - 10$$, not $$5x - 2$$.*

- **D.** $$8 - 2x = 5x - 10$$  
  *This is the correct expanded form of the original equation.*

**Conclusion:**  
**Option C ($$8 - 2x = 5x - 2$$)** is **not** a valid step in solving the equation.

**Answer:**  
$$\boxed{8-2 x=5 x-2}$$ is not a valid step in solving the problem.
$$8 - 2x = 5x - 2$$ is not a valid step in solving the problem.

4. \( 8-2 x=5(x-2) \) Which step is not part of solving the problem? Ax A \( \quad 18=7 x \) B C \( \quad 8=7 x-10 \) \( 8-2 x=5 x-2 \) \( 8-2 x=5 x-10 \)

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Solución

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