Answer:
5
Step-by-step explanation:
Given: 5^3– 10^2 = X(8 – 2) + 2X – 3X
Solving the equation to find the value of x.
⇒ [tex]5^{3} -10^{2} = x(8-2)+2x-3x[/tex]
Using the distributive property of multiplication, multiplying x with 8 and -2
⇒[tex]125-100= 8x-2x+2x-3x[/tex]
cancelling out -2x and 2x
⇒ [tex]25= 8x-3x[/tex]
⇒ [tex]25= 5x[/tex]
Multiplying both side by 5
⇒ x= [tex]\frac{25}{5}[/tex]
∴ x= 5
Hence, the value of unknown is 5.