Question

1. \\(2x - (-6) = -2\\)

Explanation:

Simplify the subtraction of a negative number

Subtracting a negative number is equivalent to adding its positive counterpart.

$$ 2x - (-6) = -2 \implies 2x + 6 = -2 $$

Isolate the variable term using subtraction

Subtract \(6\) from both sides of the equation to isolate the \(2x\) term.

$$ 2x + 6 - 6 = -2 - 6 $$

$$ 2x = -8 $$

Solve for x using division

Using the Division Property of Equality, divide both sides by \(2\) to find \(x\).

$$ \frac{2x}{2} = \frac{-8}{2} $$

$$ x = -4 $$

Answer:

\(x = -4\)