What is 'x' in 4=(1)/(1-3x)?

#4=(1)/(1-3x)#

2 Answers
Mar 1, 2018

#x=1/4#

Explanation:

#4=1/(1-3x)#

Multiply both sides by #(1-3x):#

#4(1-3x)=(1cancel(1-3x))/cancel(1-3x)#

Distribute #4# through on the left:

#4-(4)(3x)=1#

#4-12x=1#

Subtract #4# from each side:

#cancel(4-4)-12x=1-4#

#-12x=-3#

Divide each side by #-12:#

#(cancel(-12)x)/cancel(-12)=(-3)/(-12)#

#x=(cancel-3)/(cancel-12)=3/12=1/4#

Aug 6, 2018

#x=1/4#

Explanation:

To get rid of the variable in the denominator, we can multiply both sides by #1-3x# to get

#4(1-3x)=1#

Next, we can distribute the #4# on the left to get

#-12x+4=1#

Next, subtract #4# from both sides to get the constants on the right.

#-12x=-3#

Lastly, we divide both sides by #-12# to isolate the variable. We get

#x=1/4#

Hope this helps!