Question

cuánto es

$12( \frac{2}{3} x + 7) = 4( \frac{4}{3} x + 9)$
gracias​

Answer 1

Respuesta:

$x=\frac{87}{8}$

Explicación paso a paso:

$12\left(\frac{2}{3}\right)x+7=4\left(\frac{4}{3}x+9\right)$

$12\cdot \frac{2}{3}x+7=4\left(\frac{4}{3}x+9\right)$

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$12\cdot \frac{2}{3}x$

$=\frac{2\cdot \:12}{3}x$

$\frac{2\cdot \:12}{3}=8$

$=8x$

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$8x+7=4\left(\frac{4}{3}x+9\right)$

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$4\left(\frac{4}{3}x+9\right)$

$=4\cdot \frac{4}{3}x+4\cdot \:9$

$=\frac{16}{3}x+36$

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$8x+7=\frac{16}{3}x+36$

$8x+7-7=\frac{16}{3}x+36-7$

$8x=\frac{16}{3}x+29$

$8x-\frac{16}{3}x=\frac{16}{3}x+29-\frac{16}{3}x$

$\frac{8}{3}x=29$

$3\cdot \frac{8}{3}x=29\cdot \:3$

$8x=87$

$x=\frac{87}{8}$