Question

Solve the given equation for all possible values of x.
(-2/3x+4)-5=11

Answer 1

- 18

Explanation:

Start with the given equation:

`\sf -(2)/(3)x+4-5=11`

First, isolate the term (-2/3x + 4) by adding 5 to both sides of the equation.

`\sf -(2)/(3)x+4=11+5 \\\\\sf -(2)/(3)x+4=16`

Now, isolate the term (-2/3x + 4) by subtracting 4 from both sides.

`\sf -(2)/(3)x=16-4\\\\\sf -(2)/(3)x=12`

To solve for x, multiply both sides by -3/2 to isolate x.

`\sf -(3)/(2)* -(2)/(3)x= -(3)/(2)*12\\\\x=-18`