Question

1/3x-4=3/4x+1. 12(1/3x)-4=12(3/4x) + 1. 4x -4=9x + 1. -5=5x. X = -1

Solve

Answer 1

x=-12

Explanation:

`(1)/(3)x - 4 = (3)/(4) x+ 1`

To remove the denominator we take LCD

LCD of 3 and 4 is 12

In the second step we multiply the whole equation by 12 not only the fractions

`12*(1)/(3)x - 4*12= (3)/(4) x*12+ 1*12`

Now the denominator gets removed

1/3 * 12 = 4 , also 3/4 times 12 = 3*3 = 9

4x - 48 = 9x + 12

Subtract 9x on both sides

-5x - 48 = 12

Now add 48 on both sides

-5 x = 60

Divide both sides by -5

so x= -12

The value of x= -12