Respuesta:
[tex]x =\frac{8}{14}[/tex]
Explicación paso a paso:
[tex]\frac{x+3}{2} +\frac{x-1}{3} =\frac{x+6}{4}[/tex]
[tex]\frac{3(x+3)+2(x-1)}{6} =\frac{x+6}{4}[/tex]
[tex]\frac{3x+9+2x-2}{6} =\frac{x+6}{4}[/tex]
[tex]\frac{5x+7}{6} =\frac{x+6}{4}[/tex]
[tex]4(5x+7) = 6(x+6)[/tex]
[tex]20x + 28 = 6x + 36[/tex]
[tex]20x - 6x = 36-28[/tex]
[tex]14x = 8[/tex]
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Respuesta:
[tex]x =\frac{8}{14}[/tex]
Explicación paso a paso:
[tex]\frac{x+3}{2} +\frac{x-1}{3} =\frac{x+6}{4}[/tex]
[tex]\frac{3(x+3)+2(x-1)}{6} =\frac{x+6}{4}[/tex]
[tex]\frac{3x+9+2x-2}{6} =\frac{x+6}{4}[/tex]
[tex]\frac{5x+7}{6} =\frac{x+6}{4}[/tex]
[tex]4(5x+7) = 6(x+6)[/tex]
[tex]20x + 28 = 6x + 36[/tex]
[tex]20x - 6x = 36-28[/tex]
[tex]14x = 8[/tex]
[tex]x =\frac{8}{14}[/tex]