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Answer :
- Add $x$ to both sides: $181 + x = 243$.
- Subtract 181 from both sides: $x = 243 - 181$.
- Calculate the difference: $x = 62$.
- The solution is $\boxed{62}$.
### Explanation
1. Understanding the problem
We are given the equation $181 = -x + 243$ and we want to solve for $x$. This means we want to isolate $x$ on one side of the equation.
2. Adding x to both sides
To isolate $x$, we can first add $x$ to both sides of the equation: $$181 + x = -x + 243 + x$$ This simplifies to: $$181 + x = 243$$
3. Subtracting 181 from both sides
Next, we subtract 181 from both sides of the equation: $$181 + x - 181 = 243 - 181$$ This simplifies to: $$x = 243 - 181$$
4. Calculating the value of x
Finally, we perform the subtraction to find the value of $x$: $$x = 62$$
5. Final Answer
Therefore, the solution to the equation $181 = -x + 243$ is $x = 62$.
### Examples
In real life, this type of problem can be used to determine the original price of an item after a discount. For example, if you know that an item is on sale for $181 after a $x$ discount from the original price of $243, you can use the equation $181 = -x + 243$ to find the amount of the discount, which is $62.
- Subtract 181 from both sides: $x = 243 - 181$.
- Calculate the difference: $x = 62$.
- The solution is $\boxed{62}$.
### Explanation
1. Understanding the problem
We are given the equation $181 = -x + 243$ and we want to solve for $x$. This means we want to isolate $x$ on one side of the equation.
2. Adding x to both sides
To isolate $x$, we can first add $x$ to both sides of the equation: $$181 + x = -x + 243 + x$$ This simplifies to: $$181 + x = 243$$
3. Subtracting 181 from both sides
Next, we subtract 181 from both sides of the equation: $$181 + x - 181 = 243 - 181$$ This simplifies to: $$x = 243 - 181$$
4. Calculating the value of x
Finally, we perform the subtraction to find the value of $x$: $$x = 62$$
5. Final Answer
Therefore, the solution to the equation $181 = -x + 243$ is $x = 62$.
### Examples
In real life, this type of problem can be used to determine the original price of an item after a discount. For example, if you know that an item is on sale for $181 after a $x$ discount from the original price of $243, you can use the equation $181 = -x + 243$ to find the amount of the discount, which is $62.
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