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(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%28x-5%29%2B7=16 Start with the given equation.


3x-15%2B7=16 Distribute.


3x-8=16 Combine like terms on the left side.


3x=16%2B8 Add 8 to both sides.


3x=24 Combine like terms on the right side.


x=%2824%29%2F%283%29 Divide both sides by 3 to isolate x.


x=8 Reduce.


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Answer:

So the solution is x=8


Check:

3%28x-5%29%2B7=16 Start with the given equation.


3%288-5%29%2B7=16 Plug in x=8


3%283%29%2B7=16 Subtract.


9%2B7=16 Multiply


16=16 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