Subjects algebra

Solve Linear Equation 337738

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1. **State the problem:** Solve the equation $$\frac{x}{7} = 14$$ for $x$. 2. **Formula and rule:** To solve for $x$ when it is divided by a number, multiply both sides of the equation by that number to isolate $x$. 3. **Multiply both sides by 7:** $$7 \times \frac{x}{7} = 7 \times 14$$ 4. **Cancel the 7 in the denominator and numerator:** $$\cancel{7} \times \frac{x}{\cancel{7}} = 98$$ 5. **Simplify:** $$x = 98$$ 6. **Answer:** The solution to the equation is $x = 98$. This means if you divide 98 by 7, you get 14, which satisfies the original equation.