SOLUTION: Hi everyone. I need your help one this one! Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check. Thanks!

Question 297474: Hi everyone. I need your help one this one! Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check. Thanks!
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Distribute.

Combine like terms on the right side.

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the solution is

Check:

Start with the given equation.

Plug in

Multiply

Subtract

Multiply

Add

Since the equation is true, this verifies that is the answer.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Explain how you would CHECK that m=2.5 is the correct solution for the equation 5(2m-3)=2(m-2)+5 then show a correct check
----------------------------
Sub 2.5 for m, see if the 2 sides are equal
5(2.5-3) =? 2(2.5-2) + 5
5*-0.5 =? 2*0.5 + 5
-2.5 =? 6 It isnt', so m<>2.5
--------------------------------
5(2m-3)=2(m-2)+5
10m-15 = 2m-4 + 5 = 2m+1
8m-15 = 1
8m = 16
m = 2
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You can check it as I did.

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