2/3 x - 1/5 x = x - 1
Change the fractions to have the same denominators:
10/15 x - 3/15 x = 15/15 x - 1
Simplify the left side of the equation:
7/15 x = 15/15x - 1
Get everything to the right side of the equation:
0 = 8/15 x - 1
Move the (1) to the left side:
1 = 8/15x
Multiply 15 to both sides:
15 = 8x
Divide both sides by 8
15/8 = x
Answer is x=8/15
