Question

3/4 - 5/12 = 7/12x + 5/6

Answer 1

Respuesta:

3/4 - 5/12 = 7/12x + 5/6

7/12x = 3/4 - 5/15 - 5/6

7/12 x = (9-5-10)/12

7/12x = -1/2

x = (-1/2)/(7/12)

x = -6/7

Explicación paso a paso:

Answer 2

¡Hola!

La respuesta a tu pregunta es igual a:

[tex]x=-\frac{6}{7}[/tex]

Procedimiento:

[tex]\frac{3}{4}-\frac{5}{12}=\frac{7}{12}x+\frac{5}{6}[/tex]

[tex]\frac{7}{12}x+\frac{5}{6}=\frac{3}{4}-\frac{5}{12}[/tex]

Sacamos el mcm de 4 y 12 = 12

[tex]\frac{7}{12}x+\frac{5}{6}=\frac{9}{12}-\frac{5}{12}[/tex]

[tex]\frac{7}{12}x+\frac{5}{6}=\frac{9-5}{12}[/tex]

[tex]\frac{7}{12}x+\frac{5}{6}=\frac{4}{12}[/tex]

[tex]\frac{7}{12}x+\frac{5}{6}=\frac{1}{3}[/tex]

[tex]\frac{7}{12}x+\frac{5}{6}-\frac{5}{6}=\frac{1}{3}-\frac{5}{6}[/tex]

[tex]\frac{7}{12}x=-\frac{1}{2}[/tex]

[tex]\frac{7}{12}x=12\left(-\frac{1}{2}\right)[/tex]

[tex]7x=-6[/tex]

[tex]\frac{7x}{7}=\frac{-6}{7}[/tex]

[tex]x=-\frac{6}{7}\\[/tex]

Espero haberte ayudado.

¡Saludos!.