SOLUTION: 1/2x-4=1/3x-2

Question 94427: 1/2x-4=1/3x-2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)

Distribute and multiply 6 by each term on both sides

Add 24 to both sides

Subtract 2x from both sides

Combine like terms and on the left side to get

Combine like terms 24 and -12 on the right side to get 12

So our answer is

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Check:
Start with the given equation

Plug in

Multiply

Combine like terms. Since the two sides of the equation are equal, this verifies our answer.

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