-(x - 3) - 5 = 0

1 answer

To solve the equation -(x - 3) - 5 = 0, we need to simplify it step by step:

First, distribute the negative sign to both terms inside the parentheses:

-(x - 3) - 5 = -x + 3 - 5

Next, combine like terms:

-x + 3 - 5 = -x - 2

Finally, set the expression equal to zero and solve for x:

-x - 2 = 0

To isolate x, add 2 to both sides of the equation:

-x - 2 + 2 = 0 + 2

This yields:

-x = 2

Multiply both sides of the equation by -1 to solve for x:

-1 * -x = 2 * -1

x = -2

Therefore, the solution to the equation -(x - 3) - 5 = 0 is x = -2.