SOLUTION: Solve for x. 4(3-x)+6= x over 2

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Question 220546: Solve for x. 4(3-x)+6= x over 2

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

4%283-x%29%2B6=x%2F2 Start with the given equation.


12-4x%2B6=x%2F2 Distribute.


2%2812-4x%2B6%29=cross%282%29%28x%2Fcross%282%29%29 Multiply both sides by the LCD 2 to clear any fractions.


24-8x%2B12=x Distribute and multiply.


-8x%2B36=x Combine like terms on the left side.


-8x=x-36 Subtract 36 from both sides.


-8x-x=-36 Subtract x from both sides.


-9x=-36 Combine like terms on the left side.


x=%28-36%29%2F%28-9%29 Divide both sides by -9 to isolate x.


x=4 Reduce.


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Answer:

So the solution is x=4