Despeja la variable indicada en el paréntesis \( \frac{x-3}{3}=x-\frac{x+3}{4}(x) \)

Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{x-3}{3}=x-\frac{x+3}{4}\) - step1: Multiply both sides of the equation by LCD: \(\frac{x-3}{3}\times 12=\left(x-\frac{x+3}{4}\right)\times 12\) - step2: Simplify the equation: \(4x-12=9x-9\) - step3: Move the expression to the left side: \(4x-9x=-9+12\) - step4: Add and subtract: \(-5x=-9+12\) - step5: Add and subtract: \(-5x=3\) - step6: Change the signs: \(5x=-3\) - step7: Divide both sides: \(\frac{5x}{5}=\frac{-3}{5}\) - step8: Divide the numbers: \(x=-\frac{3}{5}\) Para despejar la variable \( x \) en la ecuación \( \frac{x-3}{3}=x-\frac{x+3}{4} \), hemos encontrado que: \[ x = -\frac{3}{5} \quad \text{o} \quad x = -0.6 \] Ambas formas representan la misma solución.