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anonymous
 one year ago
Please help me understand, i dont want answers.. I will medal and fan!!
Solve for x: 2 over 3 (x − 2) = 4x.
negative 2 over 5
negative 5 over 2
2 over 5
5
anonymous
 one year ago
Please help me understand, i dont want answers.. I will medal and fan!! Solve for x: 2 over 3 (x − 2) = 4x. negative 2 over 5 negative 5 over 2 2 over 5 5

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I am horrible at fractions, so any help would be great..

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Do you mean: \(\dfrac{2}{3}(x  2) = 4x\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3You are solving this equation for x, so the goal is to end up with x alone on the left side of the equal sign and a plain number on the right side.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3The first thing we need to do is to get rid of the fraction 2/3 from the left side. Since 2/3 is multiplying a quantity in parentheses, we need to divide both sides by 2/3. Dividing by 2/3 is the same as multiplying by 3/2, so we multiply both sides by 3/2.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3\(\dfrac{2}{3}(x  2) = 4x\) \(\dfrac{3}{2} \times \dfrac{2}{3}(x  2) = \dfrac{3}{2} \times 4x \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3On the left side, 3/2 and 2/3 cancel each other, which is what we wanted. On the right side, we need to multiply 3/2 by 4x. 4x is the same as 4x/1

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3\(\dfrac{\cancel{3}}{\cancel{2}} \times \dfrac{\cancel{2}}{\cancel{3}}(x  2) = \dfrac{3}{\cancel{2}~1} \times \cancel{4} ~2x \) \(x  2 = 6x\) You are correct.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3\(x  2 = 6x\) \(x = 6x + 2\) Now we subtract 6x from both sides.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3You need to be careful when adding terms. Only like terms can be combined together. Terms are like terms when the variable parts are the same. 5x and 2x are like terms. They add: 5x + 2x = 7x 6 and 2x are not like terms. They cannot combine together: 6 + 2x = 2x + 6 That's all you can do.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Ok, now we are up to this: \(x = 6x + 2\) We want all x's on the left side, so we subtract 6x from both sides. \(x  6x = 6x + 2  6x\) \(5x = 2\) Ok so far?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Now we do the last step. x is being multiplied by 5. To get rid of the multiplication by 5, we divide both sides by 5, since dividing is the opposite operation of multiplying. \(\dfrac{5x}{5} = \dfrac{2}{5} \) Now we simplify both sides to get our final answer: \(x = \dfrac{2}{5} \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Did you follow that?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Yes, the answer is choice A.
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