Answer:
x = 15/8 -> Pls. when you post math questions out there, always tell what you need, otherwise, it becomes a guessing game. Are you trying to Factor/Simplify/Roots/Polynomials, etc? This doesn't pertain to this problem it's just a general statement.
Explanation:
Solve for x:
(2 x)/3 - x/5 = x - 1
Put each term in (2 x)/3 - x/5 over the common denominator 15: (2 x)/3 - x/5 = (10 x)/15 - (3 x)/15:
(10 x)/15 - (3 x)/15 = x - 1
(10 x)/15 - (3 x)/15 = (10 x - 3 x)/15:
(10 x - 3 x)/15 = x - 1
10 x - 3 x = 7 x:
(7 x)/15 = x - 1
Multiply both sides by 15:
(15×7 x)/15 = 15 (x - 1)
(15×7 x)/15 = 15/15×7 x = 7 x:
7 x = 15 (x - 1)
Expand out terms of the right hand side:
7 x = 15 x - 15
Subtract 15 x from both sides:
7 x - 15 x = (15 x - 15 x) - 15
7 x - 15 x = -8 x:
-8 x = (15 x - 15 x) - 15
15 x - 15 x = 0:
-8 x = -15
Divide both sides of -8 x = -15 by -8:
(-8 x)/(-8) = (-15)/(-8)
(-8)/(-8) = 1:
x = (-15)/(-8)
Multiply numerator and denominator of (-15)/(-8) by -1:
Answer: x = 15/8