Question

Solve the equation for the variable.


`(2)/(5) x + 15 = x - 6`
x = [?]​

Answer 1

X= 35 hope this helpsss

Answer 2

x = 35

Explanation:

`(2)/(5) x + 15 = x - 6`

First multiply through by 5 to eliminate the fraction

That's

`5 * (2)/(5) x + 15(5) = 5x - 30 \\ 2x + 75 = 5x - 30`

Next using the subtraction property subtract 5x from both sides

That's

`2x - 5x + 75 = 5x - 5x - 30 \\ - 3x + 75 = - 30`

Next subtract 75 from both sides

`- 3x + 75 - 75 = - 30 - 75 \\ - 3x = - 105`

Divide both sides by - 3

`( - 3x)/( - 3) = ( - 105)/( - 3)`

We have the final answer as

x = 35

Hope this helps you