Answer:
x = -9/10
Step-by-step 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
