How do you solve (4x-3)/(6-7x)+18=-3?

2 Answers
Aug 6, 2016

x = 123/143

Explanation:

(4x-3)/(6-7x)+18=-3

(4x-3)/(6-7x)=-3-18

(4x-3)/(6-7x) = (-21)/1 " cross multiply"

-21(6-7x)= 4x -3

-126 +147x = 4x -3

143x =-3+126

143x = 123

x = 123/143

Sep 4, 2016

x = (123) / (143)

Explanation:

We have: (4 x - 3) / (6 - 7 x) + 18 = - 3

First, let's subtract 18 from both sides of the equation:

=> (4 x - 3) / (6 - 7 x) = - 21

Then. let's multiply both sides by 6 - 7 x:

=> 4 x - 3 = - 21 (6 - 7 x)

=> 4 x - 3 = - 126 + 147 x

Let's collect the terms containing x on one side:

=> 143 x = 123

Finally, let's solve for x by dividing both sides by 143:

=> x = (123) / (143)