Question

ayudaa nose como hacerlo.
no entiendo .
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Answer 1

Respuesta:

x= 7/9

Explicación paso a paso:

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

1er término:

$3\left(\frac{2}{3}x-\frac{3}{2}\right)=3\cdot \frac{2}{3}x-3\cdot \frac{3}{2}=2x-\frac{9}{2}$

2º término:

$\left(\left(\frac{2}{5}x\right)-2\right)\frac{1}{2} =\left(\frac{2x}{5}-2\right)\frac{1}{2}=\frac{1\cdot \left(\frac{2}{5}x-2\right)}{2}=\frac{\frac{2}{5}x-2}{2}=\frac{\frac{2x-10}{5}}{2}=\frac{2x-10}{5\cdot \:2}=$

$=\frac{2(x-5)}{5\cdot \:2}=\frac{x-5}{5}=\frac{x}{5}-\frac{5}{5}=\frac{x}{5}-1$

Resulta:

$2x-\frac{9}{2}=\frac{x}{5}-1$

$2x-\frac{x}{5}=-1+\frac{9}{2}$

$\frac{10x-x}{5}=\frac{-2+9}{2}$

$\frac{9x}{5} = \frac{7}{5}$

9x*5 = 7*5

x = 7*5 / 9*5

x= 7/9