What is the value of x in the following equation: 3/5x + 12 = 4/6x - 2 answer choices; -150 210 200 -110

3/5x + 12 = 4/6x - 2
3/5x - 4/6x = -2 - 12
-1/15 x = - 14

x  = -14 * -15  = 210 Answer

To solve this problem, we must isolate x by itself on one side of the equation and move everything else to the other side.

3/5x + 12 = 4/6x - 2

So first add 2 to each side of the equation.

3/5x + 14 = 4/6x

Then subtract 3/5x from each side of the equation to get x on one side.

14 = 4/6x - 3/5x

Now to subtract them we must get a common denominator, in this case it will be 30. So we must multiply the top and bottom of 4/6 by 5, and the top and bottom of -3/5 by 6.

14 = 5(4/6x) - 6(3/5x)

14 = 20/30x - 18/30x

Now subtract.

14 = 2/30x

Simplify 2/30x by taking a 2 out of the top and bottom of the equation.

14 = 1/15x

Lastly multiply each side of the equation by 15, the reciprocal of 1/15, to get x by itself.

15(14) = x

210 = x

210 is your answer

Hope this helps!