Question

encontre o valor de x:
$\frac{x - 15}{15} + \frac{2x - 40}{10} = \frac{3x - 45}{5} - \frac{2}{3} (x - 12)$
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Answer 1

Olá, boa tarde ^_^.

$\frac{x - 15}{15} + \frac{2x - 40}{10} = \frac{3x - 45}{5} - \frac{2}{3} .( x - 12) \\ \\ \frac{x - 15}{15} + \frac{2x - 40}{10} = \frac{3x - 45}{5} - \frac{2x + 24}{3} \\ \\ \frac{x}{15} - \frac{15}{15} + \frac{2x}{10} - \frac{40}{10} = \frac{3x}{5} - \frac{45}{5} - \frac{2x}{3} + \frac{24}{3} \\ \\ \frac{x}{15} - 1 + \frac{2x}{10} - 4 = \frac{3x}{5} - 9 - \frac{2x}{3} + 8 \\ \\ \frac{x}{15} + \frac{2x}{10} - \frac{3x}{5} + \frac{2x}{3} = 1 + 4 + 8 - 9 \\ \\ \frac{x}{15} + \frac{2x}{10} - \frac{3x}{5} + \frac{2x}{3} = \frac{4}{1} \\ \\ mmc \: = 30 \\ \\ \frac{2x + 6x - 18x + 20x}{30} = \frac{120}{30} \\ \\ \frac{28x - 18x}{30} = 4 \\ \\ 10x = 30.4</p><p> \\ \\ 10x = 120 \\ \\ x = \frac{120}{10} \\ \\ x = 12$

Espero ter ajudado

Bons estudos ♥️