Answer:
x= 39
Step-by-step explanation:
[tex] \frac{x - 4}{5} - \frac{x + 1}{6} = \frac{1}{3} [/tex]
Ensure that the denominator of the fractions on the left hand side of the equation are common.
[tex] \frac{6(x - 4)}{6(5)} - \frac{5(x + 1)}{6(5)} = \frac{1}{3} [/tex]
Expand:
[tex] \frac{6x - 24}{30} - \frac{5x + 5}{30} = \frac{1}{3} [/tex]
[tex] \frac{6x - 24 - (5x + 5)}{30} = \frac{1}{3} [/tex]
[tex] \frac{6x - 24 - 5x - 5}{30} = \frac{1}{3} [/tex]
[tex] \frac{x - 29}{30} = \frac{10}{30} [/tex]
Multiply 30 on both sides:
x -29= 10
Add 29 to both sides:
x= 10 +29
x= 39