(4x+2)/3=1/3/1/2

To solve the equation \((4x + 2)/3 = 1/3 / 1/2\), we need to simplify the right-hand side first. The expression \(1/3 / 1/2\) can be simplified by multiplying by the reciprocal: \[ 1/3 \div 1/2 = 1/3 \times 2/1 = 2/3 \] Now the equation becomes: \[ \frac{4x + 2}{3} = \frac{2}{3} \] Next, we can eliminate the fraction by multiplying both sides of the equation by 3: \[ 4x + 2 = 2 \] Now, we can solve for \(x\) by isolating it. First, subtract 2 from both sides: \[ 4x = 2 - 2 \] \[ 4x = 0 \] Now, divide both sides by 4: \[ x = 0 \] So, the solution to the equation is: \[ \boxed{0} \]