Question

$\frac{2}{3} +\frac{2(x+1)}{4} =\frac{1}{12}$

Answer 1

Resposta:

$-\frac{13}{6}\:ou\:=-2.16666\dots \:$

Explicação passo-a-passo:

$\frac{2}{3}+\frac{2\left(x+1\right)}{4}=\frac{1}{12}$

$\mathrm{Cancelar\:}\frac{2\left(x+1\right)}{4}:\quad \frac{x+1}{2}$

$\frac{2}{3}+\frac{x+1}{2}=\frac{1}{12}$

$\mathrm{Subtrair\:}\frac{2}{3}\mathrm{\:de\:ambos\:os\:lados}$

$\frac{2}{3}+\frac{x+1}{2}-\frac{2}{3}=\frac{1}{12}-\frac{2}{3}$

$\mathrm{Simplificar}$

$\frac{x+1}{2}=-\frac{7}{12}$

$\mathrm{Multiplicar\:ambos\:os\:lados\:por\:}2$

$\frac{2\left(x+1\right)}{2}=2\left(-\frac{7}{12}\right)$

$\mathrm{Simplificar}$

$x+1=-\frac{7}{6}$

$\mathrm{Subtrair\:}1\mathrm{\:de\:ambos\:os\:lados}$

$x+1-1=-\frac{7}{6}-1$

$\mathrm{Simplificar}$

$-\frac{13}{6}\:ou\:=-2.16666\dots \:$

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