SOLUTION: Three times a whole number is 10 more that half the number. What is the number?

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Question 120717: Three times a whole number is 10 more that half the number. What is the number?
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
3x=10%2Bx%2F2
Which is read as: 3 times x is equal to 10 plus half of x.
Solve:
3x-x%2F2=10 (Subtract x%2F2 from both sides)
5x%2F2=10 (Combine left side--- note: 3x=6x%2F2, then 6x%2F2-x%2F2=5x%2F2.
x=2%2F5%2A10 (Multiply both sides by the inverse of the left (2%2F5).
x=20%2F5=4 Simplify
To check,
3%2A4=12
10%2B4%2F2=10%2B2=12