(1)/(2) x + 5 = x Can you please help me with this

Question

`(1)/(2) x + 5 = x`
Can you please help me with this

Answer 1

Hi!

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

`(1)/(2)x+5-5=x-5`

`(1)/(2) x=x-5`

`(1)/(2)x-x=x-5-x`

`-(1)/(2)x=-5`

`(-(1)/(2)x)(-2)=(-5)(-2)`

`x=10`

Hope this helps!

Thanks!

-Charlie

Answer 2

`(1)/(2)x+5=x\ \ \ \ |\text{subtract}\ (1)/(2)x\ \text{from both sides}\\\\5=(1)/(2)x\ \ \ \ \ |\text{multiply both sides by 2}\\\\\boxed{x=10}\\\\\text{Check:}\\\\L=(1)/(2)\cdot10+5=5+5=10=R\qquad\qquad CORRECT\ :)\\\\Answer:\ x=10`