Question

1. solve the equation. *
2. $2x + 2 = -6 - 2x$

a) ${12}$ b) ${16}$
c) ${-11}$ d) ${-2}$
a
b
c
d
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Explanation:

Step1: Add 2x to both sides

To isolate the variable terms, we add \(2x\) to both sides of the equation \(2x + 2=-6 - 2x\). This gives us \(2x+2x + 2=-6-2x + 2x\), which simplifies to \(4x+2=-6\).

Step2: Subtract 2 from both sides

Now, we subtract 2 from both sides to get rid of the constant term on the left. So, \(4x+2 - 2=-6 - 2\), which simplifies to \(4x=-8\).

Step3: Divide by 4

Finally, we divide both sides by 4 to solve for \(x\). \(\frac{4x}{4}=\frac{-8}{4}\), so \(x = - 2\).

Answer:

D) \(\{-2\}\)