SOLUTION: Solve and check the linear equation. -6x-1-3(x+1)=7x-5

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Question 132401: Solve and check the linear equation.
-6x-1-3(x+1)=7x-5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-6x-1-3%28x%2B1%29=7x-5 Start with the given equation



-6x-1-3x-3=7x-5 Distribute


-9x-4=7x-5 Combine like terms on the left side


-9x=7x-5%2B4Add 4 to both sides


-9x-7x=-5%2B4 Subtract 7x from both sides


-16x=-5%2B4 Combine like terms on the left side


-16x=-1 Combine like terms on the right side


x=%28-1%29%2F%28-16%29 Divide both sides by -16 to isolate x



x=1%2F16 Reduce

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Answer:
So our answer is x=1%2F16 (which is approximately x=0.0625 in decimal form)







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Check:

-6x-1-3%28x%2B1%29=7x-5 Start with the given equation


-6%281%2F16%29-1-3%281%2F16%2B1%29=7%281%2F16%29-5 Plug in x=1%2F16


-6%281%2F16%29-1-3%2817%2F16%29=7%281%2F16%29-5 Combine like terms


-6%2F16-1-51%2F16=7%2F16-5 Multiply


-73%2F16=-73%2F16 Combine like terms. Since the two sides of the equation are equal, this verifies our answer.