How do you solve #\frac { x } { 3} = ( \frac { x } { 4} + 3)#?

1 Answer
May 12, 2018

#x = 36#

Explanation:

To find the variable #x#, we need to make it alone. The first thing we do is multiply both sides by #color(blue)3#:
#x/3 quadcolor(blue)(*quad3) = (x/4 + 3) quadcolor(blue)(*quad3)#

#x = (3x)/4 + 9#

Now multiply both sides by #color(blue)4# to get rid of the denominator:
#x quadcolor(blue)(*quad4) = ((3x)/4 + 9) quadcolor(blue)(*quad4)#

#4x = 3x + 36#

Now subtract #color(blue)(3x)# from both sides of the equation:
#4x quadcolor(blue)(-quad3x) = 3x + 36 quadcolor(blue)(-quad3x)#

Therefore,
#x = 36#

Hope this helps!