Respuesta :

Answer:

[tex]x(x - 1) - {x}^{2} + 2x = 5 \\ {x}^{2} - x - {x}^{2} + 2x = 5 \\ \therefore \: x \: = 5[/tex]

Answer:

x=5

Step-by-step explanation:

[tex]x(x-1)-x^2+2x=5[/tex]

expand by using distributive property

[tex]x^2-x-x^2+2x=5[/tex]

simplify

x=5

check work by substituting 5 into the original equation and simplify

use PEMDAS

[tex]5(5-1)-5^2+2(5)=5[/tex]

[tex]5(4)-25+10=5[/tex]

add and subtract  (left to right)

20-25+10=5

5=5

The equation is true, thus x=5