Respuesta :

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

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