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What is the value of x in the equation 5x - 3 = 2x + 12?
What is the value of x in the equation 5x - 3 = 2x + 12?
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Q1
What is the value of x in the equation 5x - 3 = 2x + 12?
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Rearranging gives 5x - 2x = 12 + 3 => 3x = 15 => x = 5.
Questions & Step-by-step Solutions
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Q: What is the value of x in the equation 5x - 3 = 2x + 12?
Solution:
Rearranging gives 5x - 2x = 12 + 3 => 3x = 15 => x = 5.
Steps: 7
Show Steps
Step 1: Start with the equation 5x - 3 = 2x + 12.
Step 2: Move 2x from the right side to the left side by subtracting 2x from both sides. This gives you 5x - 2x - 3 = 12.
Step 3: Simplify the left side. 5x - 2x = 3x, so now you have 3x - 3 = 12.
Step 4: Next, move -3 to the right side by adding 3 to both sides. This gives you 3x = 12 + 3.
Step 5: Simplify the right side. 12 + 3 = 15, so now you have 3x = 15.
Step 6: Finally, divide both sides by 3 to solve for x. This gives you x = 15 / 3.
Step 7: Simplify the division. 15 / 3 = 5, so x = 5.
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