Question

Solve for x.
Simplify your answer as much as possible.

Answer 1

`(36 )/(5)` or
`7.2`

Explanation:

To find the value of "x", you need to rearrange the expression to isolate "x" on one side.

`5 = (1)/(x-7)` <----- Given expression

`5(x - 7)=1` <----- Multiply both sides by (x - 7)

`5x - 35 = 1` <----- Multiply each term within parentheses by 5

`5x = 36` <----- Add both sides by 35

`x = (36)/(5)` <----- Divide both sides by 6

Answer 2

x = 36/5

Explanation:

Given equation,

→ 5 = 1/(x - 7)

Now the value of x will be,

→ 5 = 1/(x - 7)

→ 5 × (x - 7) = 1

→ 5(x) - 5(7) = 1

→ 5x - 35 = 1

→ 5x = 1 + 35

→ 5x = 36

→ [ x = 36/5 ]

Hence, value of x is 36/5.