SOLUTION: please SOLVE and CHECK this algebra problem : 3(x-5)+7=16

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Question 235336: please SOLVE and CHECK this algebra problem : 3(x-5)+7=16
Found 2 solutions by jim_thompson5910, till_the_end:
Answer by jim_thompson5910(13794) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given equation.


Distribute.


Combine like terms on the left side.


Add to both sides.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


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Answer:

So the solution is


Check:

Start with the given equation.


Plug in


Subtract.


Multiply


Add. Since the equation is true, this verifies the answer.

Answer by till_the_end(2) About Me  (Show Source):
You can put this solution on YOUR website!
step 1: 3(x-5)+7=16
step 2: subtract 7 from both sides... (problem should now look like this: 3(x-5)=9)
step 3: use distributive property on the left side... (problem should now look like this: 3x-15=9)
step 4: add 15 to both sides... (problem should now look like this: 3x=24)
step 5: devide both sides by 3... (problem should now look like this: x=8)
step 6: x=8