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Solve the equation.$$ rac{5}{6} x+ rac{1}{2}= rac{1}{4}(x-4)$$...

Question

Solve the equation.$$ rac{5}{6} x+ rac{1}{2}= rac{1}{4}(x-4)$$

Solve the equation. $$\frac{5}{6} x+\frac{1}{2}=\frac{1}{4}(x-4)$$



Answers

Solve the equation.
$$4 x^{2}-6 x+5=x+1$$

So you sold a given equation. I first take one by two to the right and X by six to the left. So this would give me X by five minus six by six. He closed toe one by two. So this would give me 66 minus phi Necks by 30 equals to one by So this would give me X by 30 equals to one by two, multiplying both sides by 30. I get at equal toe 30 by two, which is equal to which gives me access 15 which is the solution for this equation.

To solve this equation will first multiply both sides that respected well for her. 12 multiplied by x plus one by four equal to one by six multiplied by 12 plus Tu minus X by three multiplied by 12 which would give me three X plus three equal toe two plus eight minus forex, which would give me three x plus tree equals toe, then minus four decks. Now I'll take three to the right and minus forex to the left. So this arguing me three x plus four x equal toe 10 minus three. So this would give me seven. X equals to seven now dividing both sides. Seven. I get excess one just a solution for this equation.

Let's solve this equation for X. In order to do this, we need to get all the exes by themselves. But first we're going to combine the terms on the left. But his five x minus four x is just X equals negative six X plus three. Now I'm going to add six X to both sides so we can get the exes by themselves. This would go us seven X equals still just three on the right. And now if we divide by seven, we will get X alone. That is X equals 3/7, so this could be put into a decimal form. However, fractional form is just as correct, so we will stick with this answer. Ax equals 3/7.

So we have three into X plus six that is equal to five and two X minus four. Well, let's start distributing three and five so three X plus 18 is equal to five X minus 20. Let's add 20 on both sides. We're gonna have three X plus. 38 is he could've five X Now let's subtract three x on both sides. We will get two. X is equal to 38. Two X is 38 now we divide both sides by two, so x is 19.


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