Question

Can someone please solve the equation? ASAP
with explanation please

Answer 1

x = - 2

Explanation:

given the equation

-
`(1)/(3)` (x + 5) =
`(1)/(6)` (x + 2) - 1

multiply through by 6 ( the LCM of 3 and 6 ) to clear the fractions

6 × -
`(1)/(3)` (x + 5) = 6 ×
`(1)/(6)` (x + 2) - 6 × 1 ( simplify both sides )

- 2(x + 5) = x + 2 - 6

- 2x - 10 = x - 4 ( subtract x from both sides )

- 3x - 10 = - 4 ( add 10 to both sides )

- 3x = 6 ( divide both sides by - 3 )

x = - 2