Find the value of x?? Please help!! x + 2 = (x)/(4) +5

Question

Find the value of x?? Please help!!


`x + 2 = (x)/(4) +5`

Answer 1

x = 4

Explanation:

`x + 2 = (x)/(4) + 5`

Multiply through by 4 to eliminate the fraction

That's

`4x + 8 = (x)/(4) * 5 + 5 * 4 \\ 4x + 8 = x + 20`

Subtract x from each side

That's

`4x - x + 8 = x - x + 20 \\ 3x + 8 = 20`

Subtract 8 from each side

`3x + 8 - 8 = 20 - 8 \\ 3x = 12`

Divide both sides by 3

`(3x)/(3) = (12)/(3)`

We have the final answer as

x = 4

Hope this helps you