Question

Simplify and solve for the unknown. Use order of operations as needed. Check your work.

Type the FULL answer in the box, using the variable and an equal sign. Do not add any spaces.

5^3– 10^2 = X(8 – 2) + 2X – 3X

Answer 1

5

Explanation:

Given: 5^3– 10^2 = X(8 – 2) + 2X – 3X

Solving the equation to find the value of x.

⇒
`5^(3) -10^(2) = x(8-2)+2x-3x`

Using the distributive property of multiplication, multiplying x with 8 and -2

⇒
`125-100= 8x-2x+2x-3x`

cancelling out -2x and 2x

⇒
`25= 8x-3x`

⇒
`25= 5x`

Multiplying both side by 5

⇒ x=
`(25)/(5)`

∴ x= 5

Hence, the value of unknown is 5.