Verified answer

3x/5 - x = x/10 - 5/2

6x - 10x = x - 25

5x = 25

x = 5

Answer: x = 5

Proof:

(3[5])/5 - 5 = 5/10 - 5/2

(15 - 25)/5 = (5 - 25)/10

- 10/5 = - 20/10

- 2 = - 2

(3x-5)² = (3x-5)(3x-5) you're in fact multiplying each little thing in the 1st bracket by potential of each little thing in the 2d bracket. You do this step by potential of step. First, you multiply the 1st issues in the brackets (3x * 3x) then the outdoors issues in the brackets (3x * -5) then the interior issues in the brackets (-5 * 3x) and finally, the final issues in the brackets (-5 * -5). it quite is noted as the FOIL approach. 3x * 3x = 9x ² 3x * -5 = -15x -5 * 3x = -15x -5 * -5 = 25 Then placed all of it at the same time and simplify. 9x ² - 15x - 15x + 25 9x ² - 30x + 25

3x/5 - x = x/10 - 5/2

6x - 10x = x - 25

25 = 5x

x = 5

lhs -3x/5 - x

3x - 5x /5

-2x / 5

rhs-x/10-5/2

x - 25 / 10

lhs = rhs

-2x / 5 =x-25/10

-2x/5 - (x-25)/ 10 = 0

-2x / 5 - x +25 / 10=0

2(-2x) - x + 25 / 10=0

-4x - x + 25 = 0

-5x= -25

x = 5