Questions: Solve for x: 2/3 x-5=2 x=

Solution Steps

To solve the equation \(\frac{2}{3} x - 5 = 2\), we need to isolate \(x\). First, add 5 to both sides of the equation to eliminate the constant term on the left. Then, multiply both sides by the reciprocal of \(\frac{2}{3}\) to solve for \(x\).

Starting with the equation: \[ \frac{2}{3} x - 5 = 2 \] we add 5 to both sides: \[ \frac{2}{3} x = 7 \]

Next, we multiply both sides by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\): \[ x = 7 \cdot \frac{3}{2} \]

Calculating the right side gives: \[ x = \frac{21}{2} = 10.5 \]

Final Answer