SOLUTION: Please explain. -4(2x-3)=8x+5

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Question 113618: Please explain.
-4(2x-3)=8x+5

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

-4%282x-3%29=8x%2B5 Start with the given equation



-8x%2B12=8x%2B5 Distribute


-8x=8x%2B5-12Subtract 12 from both sides


-8x-8x=5-12 Subtract 8x from both sides


-16x=5-12 Combine like terms on the left side


-16x=-7 Combine like terms on the right side


x=%28-7%29%2F%28-16%29 Divide both sides by -16 to isolate x



x=7%2F16 Reduce

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Answer:
So our answer is x=7%2F16 (which is approximately x=0.4375 in decimal form)