`1/2 (3X + 14) =1/6(7X-10)`
Which value of x satisfies the equation above ?

Options

A. `-26`
B. 2
C. 8
D. 16

Answer

A

Explanation

Eliminate the fractions by multiplying both sides of the equation by 6:
`((6)/(1))1/2(3x +14) =((6)/(1))1/6 (7x -10)`
`3 (3x +14)=(7x-10)`
In order to collect all the x terms on one side, you'll first need ot distribute the 3 on the left side of the equation:
`9x 42=7x-10`
Next, subtract 7x from both sides:
`2x + 42=-10`
Now, subtract 42 from both sides:
` 2x =-52`
Finally, divide both sides by 2 to leave x by itself:
`x =-26`
Choice (A) is correct.
if you find isolating a variable to be challenging, try these Drill questions before preoceeding to the Try on Your Own set. isolate the variable in each equation. Turn the page and look at the bootom of the page of see the answers.