Question

solve for x.
-2 = x - \frac{2}{3}
simplify your answer as much as possible.
x = \square

Explanation:

Step1: Add $\frac{2}{3}$ to both sides

To solve for \( x \), we add \(\frac{2}{3}\) to both sides of the equation \(-2 = x - \frac{2}{3}\). This gives us \(-2+\frac{2}{3}=x\).

Step2: Convert -2 to thirds

We know that \(-2 = -\frac{6}{3}\). So substituting that in, we have \(-\frac{6}{3}+\frac{2}{3}=x\).

Step3: Add the fractions

When adding the fractions \(-\frac{6}{3}+\frac{2}{3}\), we add the numerators: \(\frac{-6 + 2}{3}=\frac{-4}{3}\).

Answer:

\(x = -\frac{4}{3}\)