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What is the value of x in the equation 7x - 2 = 5x + 10?
What is the value of x in the equation 7x - 2 = 5x + 10?
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Q1
What is the value of x in the equation 7x - 2 = 5x + 10?
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Subtract 5x from both sides: 2x - 2 = 10. Add 2: 2x = 12. Divide by 2: x = 6.
Questions & Step-by-step Solutions
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Q
Q: What is the value of x in the equation 7x - 2 = 5x + 10?
Solution:
Subtract 5x from both sides: 2x - 2 = 10. Add 2: 2x = 12. Divide by 2: x = 6.
Steps: 7
Show Steps
Step 1: Start with the equation 7x - 2 = 5x + 10.
Step 2: Subtract 5x from both sides to get 7x - 5x - 2 = 10.
Step 3: This simplifies to 2x - 2 = 10.
Step 4: Now, add 2 to both sides to eliminate -2: 2x - 2 + 2 = 10 + 2.
Step 5: This simplifies to 2x = 12.
Step 6: Finally, divide both sides by 2 to solve for x: 2x / 2 = 12 / 2.
Step 7: This gives you x = 6.
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