Question

I need help on this problem...

Answer 1

Option C:

x = 0

Solution:

Given equation :
`(1)/(2)(x-14)+11=(1)/(2) x-(x-4)`

To find the value of x from the given equation.

`$(1)/(2)(x-14)+11=(1)/(2) x-(x-4)`

`$\Rightarrow(1)/(2)x-7+11=(1)/(2) x-x+4`

`$\Rightarrow(1)/(2) x+4=-(1)/(2) x+4`

Subtract 4 from both sides of the equation.

`$\Rightarrow(1)/(2) x+4-4=-(1)/(2) x+4-4`

`$\Rightarrow(1)/(2) x=-(1)/(2) x`

Arrange like terms in one side of the equation.

Negative term changed to positive term when it goes to left side of the equation.

`$\Rightarrow(1)/(2) x+(1)/(2) x=0`

`$\Rightarrow(1+1)/(2) x=0`

`$\Rightarrow(2)/(2) x=0`

`$\Rightarrow x=0`

Option C is the correct answer.

The value of x is 0.