Question: solve this algebra
x
14
+ 222 = 8x
1. **State the problem:** Solve the equation $$\frac{x}{14} + 222 = 8x$$ for $x$.
2. **Write down the formula and rules:** We want to isolate $x$ on one side. To do this, we will eliminate the fraction by multiplying both sides by 14, then collect like terms.
3. **Multiply both sides by 14 to clear the denominator:**
$$14 \times \left(\frac{x}{14} + 222\right) = 14 \times 8x$$
4. **Distribute 14:**
$$14 \times \frac{x}{14} + 14 \times 222 = 14 \times 8x$$
5. **Simplify:**
$$\cancel{14} \times \frac{x}{\cancel{14}} + 3108 = 112x$$
$$x + 3108 = 112x$$
6. **Subtract $x$ from both sides:**
$$x + 3108 - x = 112x - x$$
$$3108 = 111x$$
7. **Divide both sides by 111:**
$$\frac{3108}{111} = \frac{111x}{111}$$
$$\frac{\cancel{3108}}{\cancel{111}} = x$$
8. **Simplify the fraction:**
$$x = 28$$
**Final answer:**
$$x = 28$$