SOLUTION: can you please help me step by step on how to solve this problem 10-x/2=x/3

Algebra ->  College  -> Linear Algebra -> SOLUTION: can you please help me step by step on how to solve this problem 10-x/2=x/3      Log On


   

Question 952871: can you please help me step by step on how to solve this problem
10-x/2=x/3
Found 3 solutions by Alan3354, josgarithmetic, macston:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
10-x/2=x/3
Add x/2
10 = (x/3) + (x/2)
10 = (2x/6) + (3x/6)
10 = 5x/6
60 = 5x
x = 12

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
10-x%2F2=x%2F3

Multiplicative Inverse, 2%2A3=6
60-3x=2x

Additive Inverse, 3x,
60=2x%2B3x

Like terms,
60=5x

Multiplicative Inverse, 1%2F5,
60%2F5=x
Simplify.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
10-x%2F2=x%2F3 Add x/2 to each side.
10=x%2F3%2Bx%2F2 Factor out x.
10=x%281%2F3%2B1%2F2%29 Find common denominator and add.
10=x%28%281%2F3%29%282%2F2%29%2B%281%2F2%29%283%2F3%29%29
10=x%282%2F6%2B3%2F6%29
10=x%285%2F6%29 Multiply each side by 6/5.
60%2F5=x
12=x
CHECK:
10-x%2F2=x%2F3
10-%2812%2F2%29=%2812%2F3%29
10-6=4
4=4