Which value of x satisfies the equation \( \frac{2}{3}\left(x+\frac{3}{2}\right)=\frac{1}{3} \) ?

Solve the equation \( \frac{2}{3}\left(x+\frac{3}{2}\right)=\frac{1}{3} \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{2}{3}\left(x+\frac{3}{2}\right)=\frac{1}{3}\) - step1: Multiply the terms: \(\frac{2}{3}x+1=\frac{1}{3}\) - step2: Move the constant to the right side: \(\frac{2}{3}x=\frac{1}{3}-1\) - step3: Subtract the numbers: \(\frac{2}{3}x=-\frac{2}{3}\) - step4: Multiply by the reciprocal: \(\frac{2}{3}x\times \frac{3}{2}=-\frac{2}{3}\times \frac{3}{2}\) - step5: Multiply: \(x=-1\) The value of \( x \) that satisfies the equation \( \frac{2}{3}\left(x+\frac{3}{2}\right)=\frac{1}{3} \) is \( x = -1 \).