SOLUTION: 7(3x+4)=8(2x+5)+13 2(x-3)-3(x+5)=3(x-2)-7 3x-5(3x-7)=2(x+9)+45

Algebra ->  Linear-equations -> SOLUTION: 7(3x+4)=8(2x+5)+13 2(x-3)-3(x+5)=3(x-2)-7 3x-5(3x-7)=2(x+9)+45       Log On


   

Question 117041: 7(3x+4)=8(2x+5)+13
2(x-3)-3(x+5)=3(x-2)-7
3x-5(3x-7)=2(x+9)+45

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
#1



7%283x%2B4%29=8%282x%2B5%29%2B13 Start with the given equation



21x%2B28=16x%2B40%2B13 Distribute


21x%2B28=16x%2B53 Combine like terms on the right side


21x=16x%2B53-28Subtract 28 from both sides


21x-16x=53-28 Subtract 16x from both sides


5x=53-28 Combine like terms on the left side


5x=25 Combine like terms on the right side


x=%2825%29%2F%285%29 Divide both sides by 5 to isolate x



x=5 Divide

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Answer:
So our answer is x=5





#2




2%28x-3%29-3%28x%2B5%29=3%28x-2%29-7 Start with the given equation



2x-6-3x-15=3x-6-7 Distribute


-x-21=3x-6-7 Combine like terms on the left side


-x-21=3x-13 Combine like terms on the right side


-x=3x-13%2B21Add 21 to both sides


-x-3x=-13%2B21 Subtract 3x from both sides


-4x=-13%2B21 Combine like terms on the left side


-4x=8 Combine like terms on the right side


x=%288%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=-2 Divide

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Answer:
So our answer is x=-2






#3




3x-5%283x-7%29=2%28x%2B9%29%2B45 Start with the given equation



3x-15x%2B35=2x%2B18%2B45 Distribute


-12x%2B35=2x%2B18%2B45 Combine like terms on the left side


-12x%2B35=2x%2B63 Combine like terms on the right side


-12x=2x%2B63-35Subtract 35 from both sides


-12x-2x=63-35 Subtract 2x from both sides


-14x=63-35 Combine like terms on the left side


-14x=28 Combine like terms on the right side


x=%2828%29%2F%28-14%29 Divide both sides by -14 to isolate x



x=-2 Divide

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Answer:
So our answer is x=-2