[tex] \ frac{3(2x + 5)}{12} - \ frac{5(x - 3)}{8} = x + 2[ / tex]​?

Resolviendo

Tenemos una ecuación de primer grado, y la resolvemos de la siguiente forma : <img src="https://tex.z-dn.net/?f=%5Cdfrac%7B3%282x%2B5%29%7D%7B12%7D-%5Cdfrac%7B5%28x-3%29%7D%7B8%7D%3Dx%2B2%5C%5C%20%5C%5C%20%5C%5C%5Cdfrac%7B6x%2B15%7D%7B12%7D-%5Cdfrac%7B5x-15%7D%7B8%7D%3Dx%2B2%5Cquad%5Cto%5Ctextbf%7BM%5C%27inimo%20Com%5C%27un%20Multiplo%3A%2024%7D" />Multiplicas toda la ecuación por 24 : <img src="https://tex.z-dn.net/?f=%5Cdfrac%7B24%286x%2B15%29%7D%7B12%7D-%5Cdfrac%7B24%285x-15%29%7D%7B8%7D%3D24%28x%2B2%29%5C%5C%20%5C%5C%5Cdfrac%7B%5Cnot%7B24%7D%286x%2B15%29%7D%7B%5Cnot%7B12%7D%7D-%5Cdfrac%7B%5Cnot%7B24%7D%285x-15%29%7D%7B%5Cnot%7B8%7D%7D%3D24x%2B48%5Cqquad%5Cto%5Ctextbf%7BSimplificas%7D%5C%5C%20%5C%5C2%286x%2B15%29-3%285x-15%29%3D24x%2B48%5C%5C%20%5C%5C12x%2B30-15x%2B45%3D24x%2B48%5C%5C%20%5C%5C-3x%2B75%3D24x%2B48" />Ahora multiplicas toda la ecuación por ( - 1) : <img src="https://tex.z-dn.net/?f=-1%28-3x%2B75%3D24x%2B48%29%5C%5C%20%5C%5C3x-75%3D-24-48%5C%5C%20%5C%5C24x%2B3x%3D75-48%5C%5C%20%5C%5C27x%3D27%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B27%7D%7B27%7D%5C%5C%20%5C%5Cx%3D1%5Cquad%5CLongrightarrow%5Cboxed%7B%5Ctextbf%7BEl%20valor%20de%20%22x%22.%7D%7D" />Respuesta : X = 1MUCHA SUERTE!