Question

$\frac{5 - x}{2 } - 2 = \frac{1 - x}{2} - \frac{2(x + 1)}{3}$
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Answer 1

Respuesta:

$\frac{5-x}{2}-2=\frac{1-x}{2}-\frac{2\left(x+1\right)}{3}$

Multiplicamos por (6)

$\frac{5-x}{2}\cdot \:6-2\cdot \:6=\frac{1-x}{2}\cdot \:6-\frac{2\left(x+1\right)}{3}\cdot \:6$

Simplificamos

$\frac{5-x}{2}\cdot \:6=3\left(-x+5\right)$

$-2\cdot \:6=-12$

$\frac{1-x}{2}\cdot \:6=3\left(-x+1\right)$

$-\frac{2\left(x+1\right)}{3}\cdot \:6=-4\left(x+1\right)$

$\boxed{3\left(-x+5\right)-12=3\left(-x+1\right)-4\left(x+1\right)}$

Resolver

$3\left(-x+5\right)-12=-3x+3$

$3\left(-x+1\right)-4\left(x+1\right)=-7x-1$

$\boxed{-3x+3=-7x-1}$

$-3x=-7x-4$

$4x=-4$

$\frac{-4}{4}=-1$

$\boxed{x=-1}$

Saludos...