Question

Solve this equation. 2/3x-1/5x=x-1

Answer 1

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.

Step-by-step 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

Answer 2

Answer: 15+√645/30, 15-√645/30

Step-by-step explanation:

I hope this helps you sorry if it is wrong.