Question 657254
(x-4)/(6)=(5)/(4)

To solve an equation, what you do to one side you must do to the other so that it continues to be an equation. You choose operations to do to get rid of the terms and factors that are with the unknown x so that you will end up with an equation that is  x= ___

(x-4)/(6)=(5)/(4)
6* (x-4)/(6)=6*(5)/(4)
6/6 *(x-4)=6*5/4
1 *(x-4)=30/4
(x-4)=30/4
x-4=30/4
x-4+4=(30/4)+4
x+0=(30/4)+(16/4)
x=46/4

Substitute our calculated x back into the equation and you will see that it is the correct answer for x.