Question

(/ is fractions)

1/3x+2/5=x+1. Find X.

Answer 1

x = -9/10

Explanation

1/3x+2/5=x+1 should be written as (1/3)x + (2/5) = x + 1 for greater clarity.

The LCD is (3)(5) = 15.

Thus, we have (5/15)x + (6/15) = x + 1

Clear out the fractions by multiplying all four terms by the LCD (15):

5x + 6 = 15x + 15.

Combining like terms, we get -9 = 10x, and so:

x = -9/10