SOLUTION: x/2 + 4x/3 + 2x/4 = 7 solve for x Solve for "x" : 3(2x + 4) = 2(5x - 3) + 2

Algebra ->  Equations -> SOLUTION: x/2 + 4x/3 + 2x/4 = 7 solve for x Solve for "x" : 3(2x + 4) = 2(5x - 3) + 2       Log On


   

Question 119738: x/2 + 4x/3 + 2x/4 = 7 solve for x

Solve for "x" : 3(2x + 4) = 2(5x - 3) + 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2F2%2B4x%2F3%2B2x%2F4=7 Start with the given equation



%2812%29%28x%2F2%2B4x%2F3%2B2x%2F4%29=%2812%29%287%29 Multiply both sides by the LCM of 12. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



6x%2B16x%2B6x=84 Distribute and multiply the LCM to each side



28x=84 Combine like terms on the left side


x=%2884%29%2F%2828%29 Divide both sides by 28 to isolate x



x=3 Divide

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Answer:
So our answer is x=3











3%282x%2B4%29=2%285x-3%29%2B2 Start with the given equation



6x%2B12=10x-6%2B2 Distribute


6x%2B12=10x-4 Combine like terms on the right side


6x=10x-4-12Subtract 12 from both sides


6x-10x=-4-12 Subtract 10x from both sides


-4x=-4-12 Combine like terms on the left side


-4x=-16 Combine like terms on the right side


x=%28-16%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=4 Divide

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Answer:
So our answer is x=4