SOLUTION: 7/8x - 1/4 + 3/4x = 1/16 + x

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Question 197221: 7/8x - 1/4 + 3/4x = 1/16 + x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287%2F8%29x-1%2F4%2B%283%2F4%29x=1%2F16%2Bx Start with the given equation.


Multiply EVERY term by the LCD 16 to clear any fractions.


14x-4%2B12x=1%2B16x Multiply.


26x-4=1%2B16x Combine like terms on the left side.


26x=1%2B16x%2B4 Add 4 to both sides.


26x-16x=1%2B4 Subtract 16x from both sides.


10x=1%2B4 Combine like terms on the left side.


10x=5 Combine like terms on the right side.


x=%285%29%2F%2810%29 Divide both sides by 10 to isolate x.


x=1%2F2 Reduce.


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Answer:

So the solution is x=1%2F2 which in decimal form is x=0.5.