Answer:
x=-12
Step-by-step explanation:
[tex]\frac{1}{3}x - 4 = \frac{3}{4} x+ 1[/tex]
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
[tex]12*\frac{1}{3}x - 4*12= \frac{3}{4} x*12+ 1*12[/tex]
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
