Final answer:
To solve the equation 3x - 7 = 14, add 7 to both sides, then divide by 3, resulting in x = 7. Since the result is not a decimal, no rounding is necessary, and we can confirm the solution is correct by substituting back into the original equation.
Step-by-step explanation:
To solve the equation 3x - 7 = 14, follow these steps:
- Add 7 to both sides of the equation to isolate the term with the variable: 3x - 7 + 7 = 14 + 7, which simplifies to 3x = 21.
- Divide both sides of the equation by 3 to solve for x: 3x / 3 = 21 / 3, which simplifies to x = 7.
- Since the result is a whole number, there is no need for rounding.
The solution to the equation is x = 7. This answer is already exact, so no additional steps are needed for rounding to three decimal places.
When solving equations, it's crucial to check the answer to ensure it's reasonable. Substituting x back into the original equation gives us 3(7) - 7, which simplifies to 21 - 7, resulting in 14, confirming that our solution is correct.