Solve the equation. $$ 4 x-(5 x+5)=2 x-14 $$

Question

UpStudy AI · Accepted Answer

We start with the equation  
$$
4x - (5x + 5) = 2x - 14.
$$

1. **Distribute the negative sign:**  
   $$
   4x - 5x - 5 = 2x - 14.
   $$

2. **Combine like terms on the left side:**  
   $$
   -x - 5 = 2x - 14.
   $$

3. **Add $$x$$ to both sides:**  
   $$
   -x + x - 5 = 2x + x - 14 \quad \Longrightarrow \quad -5 = 3x - 14.
   $$

4. **Add $$14$$ to both sides:**  
   $$
   -5 + 14 = 3x - 14 + 14 \quad \Longrightarrow \quad 9 = 3x.
   $$

5. **Divide both sides by 3:**  
   $$
   x = \frac{9}{3} = 3.
   $$

Thus, the solution is  
$$
x = 3.
$$
$$ x = 3 $$

Solve the equation.