Solve the following. $$ \begin{array}{l} ext { 16. } 8 x+3=2 x-9\end{array} \begin{array}{l} ext { 17. } 4(x-3)+2(x+1)=14\end{array} $$

Question

Solve the following. $$ \begin{array}{l}	ext { 16. } 8 x+3=2 x-9\end{array} \begin{array}{l}	ext { 17. } 4(x-3)+2(x+1)=14\end{array} $$

UpStudy AI · Accepted Answer

**16. Solve the equation $$8x + 3 = 2x - 9$$**

1. Subtract $$2x$$ from both sides:
   $$
   8x + 3 - 2x = 2x - 9 - 2x \quad \Rightarrow \quad 6x + 3 = -9.
   $$

2. Subtract $$3$$ from both sides:
   $$
   6x + 3 - 3 = -9 - 3 \quad \Rightarrow \quad 6x = -12.
   $$

3. Divide both sides by $$6$$:
   $$
   x = \frac{-12}{6} = -2.
   $$

**17. Solve the equation $$4(x-3) + 2(x+1) = 14$$**

1. Distribute the constants:
   $$
   4(x-3) = 4x - 12 \quad \text{and} \quad 2(x+1) = 2x + 2.
   $$

2. Write the equation with the distributed terms:
   $$
   4x - 12 + 2x + 2 = 14.
   $$

3. Combine like terms:
   $$
   (4x + 2x) + (-12 + 2) = 14 \quad \Rightarrow \quad 6x - 10 = 14.
   $$

4. Add $$10$$ to both sides:
   $$
   6x - 10 + 10 = 14 + 10 \quad \Rightarrow \quad 6x = 24.
   $$

5. Divide both sides by $$6$$:
   $$
   x = \frac{24}{6} = 4.
   $$

**Final Answers:**

- For equation 16: $$x = -2$$.
- For equation 17: $$x = 4$$.
**Solutions:** - For equation 16: $$x = -2$$. - For equation 17: $$x = 4$$.

Solve the following. \( \begin{array}{l}\text { 16. } 8 x+3=2 x-9\end{array} \begin{array}{l}\text { 17. } 4(x-3)+2(x+1)=14\end{array} \)