Final answer:
To solve the equation 5 - 2x - (2x + 1) = -6 for x, first remove the parentheses, combine like terms, isolate the variable, and solve.
Step-by-step explanation:
To solve the equation 5 - 2x - (2x + 1) = -6 for x, we first simplify the equation by removing the parentheses.
This gives us 5 - 2x - 2x - 1 = -6.
Combining like terms, we get 5 - 4x - 1 = -6.
Simplifying further, we have 4 - 4x = -6.
Next, we isolate the variable by subtracting 4 from both sides to get -4x = -10.
Finally, we solve for x by dividing both sides of the equation by -4, which gives us x = 2.5.