Respuesta:
x = 5.7241 (aproximado)
Explicación paso a paso:
Planteamiento:
(x+1)/6 - 3(x-2)/8 = x - 6
Desarrollo:
(8/8){(x+1)/6} - (6/6){3(x-2)/8} = x - 6
{8(x+1)}/(8*6) - 6{3(x-2)}/(6*8) = x - 6
{8*x + 8*1} / 48 - 6*3(x-2) / 48 = x - 6
{8x+8}/48 - 18(x-2)/48 = x - 6
{8x+8}/48 - {18*x + 18*-2}/48 = x - 6
{8x+8}/48 - {18x - 36}/48 = x - 6
[{8x+8} - {18x-36}] / 48 = x - 6
{8x - 18x + 8 + 36} = 48(x-6)
{-10x + 44} = 48*x + 48*-6
-10x + 44 = 48x - 288
-10x - 48x = -288 - 44
-58x = -332
x = -332/-58
x = 5.7241 (aproximado)
Comprobación:
(5.7241+1)/6 - {3(5.7241-2)}/8 = 5.7241-6
1.1207 - 1.3966 = 0.2758 (resultado aproximado)
