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Solve the equation x+7=5...

Solve the equation `x+7=5`

A

`-2`

B

`12`

C

`1`

D

`2`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( x + 7 = 5 \), we will follow these steps: ### Step 1: Isolate the variable \( x \) To isolate \( x \), we need to move the constant term (which is 7) to the other side of the equation. We can do this by subtracting 7 from both sides of the equation. \[ x + 7 - 7 = 5 - 7 \] ### Step 2: Simplify both sides Now, we simplify both sides of the equation: \[ x = 5 - 7 \] ### Step 3: Calculate the right side Next, we perform the subtraction on the right side: \[ x = -2 \] ### Conclusion The solution to the equation \( x + 7 = 5 \) is: \[ x = -2 \] ### Step 4: Verify the solution To verify our solution, we will substitute \( x = -2 \) back into the original equation: \[ x + 7 = 5 \] Substituting \( -2 \) for \( x \): \[ -2 + 7 = 5 \] Calculating the left side: \[ 5 = 5 \] Since both sides of the equation are equal, our solution is verified. ### Final Answer Thus, the value of \( x \) is: \[ \boxed{-2} \] ---
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RD SHARMA ENGLISH-LINEAR EQUATIONS IN ONE VARIABLE-All Questions
  1. Solve the equation x-3=5 and check the result.

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  2. Solve the equation x-7=-2 and check the result.

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  3. Solve the equation x+7=5

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  4. Solve the equation x+4=-2 and check the result.

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  5. Solve the equation y/(12)=48 and check the result.

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  6. Solve the equation 15 x=21 and verify the result.

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  7. Solve the equation 2/(3x)=18 and check the result.

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  8. Solve the equation 3x+2=11 and check the result.

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  9. Solve the equation 2x-1/2=3 and check the result.

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  10. Solve the equation 3(x+6)=21 and check the result.

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  11. Solve the equation 16(3x-5)-10(4x-8)=40 and verify the result.

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  12. Solve each of the following equation and check your answers: 1.x-3=5...

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  13. Solve each of the following equation and check your answers: 1.x-3/5...

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  14. Solve each of the following equation and check your answers: 1.x/2=0...

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  15. Solve each of the following equation and check your answers: 1.x+1/2...

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  16. Solve each of the following equation and check your answers: 1.7+4y=...

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  17. Solve each of the following equation and check your answers: (i) 2y-...

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  18. Solve each of the following equation and check your answers: 1.3(x+...

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  19. Solve each of the following equation and check your answers: 1 .1/3-2...

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  20. Solve each of the following equation and check your answers: (i)3(x+...

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