Respuesta:
[tex]\frac{x+2}{4} - \frac{x+5}{8} = -2[/tex]
[tex]MCM(4,8) = 2^{3} = 8[/tex]
[tex]4 - 8 | 2\\ 2-4 | 2\\ 1 - 2 | 2\\ 1-1[/tex]
[tex]8(\frac{x+2}{4} ) - 8(\frac{x+5}{8} ) = 8(-2)[/tex]
[tex]2(x+2) - x- 5 = -16[/tex]
[tex]2x + 4 - x - 5 = -16[/tex]
[tex]x - 1 = -16[/tex]
[tex]x = -16 +1[/tex]
[tex]x= -15[/tex]
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Verified answer
Respuesta:
[tex]\frac{x+2}{4} - \frac{x+5}{8} = -2[/tex]
⪧ Sacamos MCM a los denominadores:
[tex]MCM(4,8) = 2^{3} = 8[/tex]
[tex]4 - 8 | 2\\ 2-4 | 2\\ 1 - 2 | 2\\ 1-1[/tex]
⨠El resultado lo multiplicamos por todos los elementos:
[tex]8(\frac{x+2}{4} ) - 8(\frac{x+5}{8} ) = 8(-2)[/tex]
[tex]2(x+2) - x- 5 = -16[/tex]
[tex]2x + 4 - x - 5 = -16[/tex]
[tex]x - 1 = -16[/tex]
[tex]x = -16 +1[/tex]
[tex]x= -15[/tex]
RESPUESTA: [tex]x= -15[/tex] ✔