Question

solve for x from the given equation.
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Answer 1

Answer:

$x = \frac{21}{11}$

Step-by-step explanation:

$\frac{7x + 14}{3} - \frac{17 - 3}{5} = 6x - \frac{4x - 2}{3} - 5 \\ \frac{5(7x + 14) - 3(17 - 3x)}{15} = \frac{3(6x) - (4x - 2)}{3} - 5 \\ \frac{35x + 70 - 51 - 9x}{15} = \frac{18x - 4 - 2}{3} - 5 \\ \frac{26 x+ 19}{15} = \frac{14x - 2}{3} - 5 \\ \frac{26x + 19}{15} - \frac{14 - 2}{3} = - 5 \\ \frac{(26x + 19) - 5(14x - 2)}{15} = - 5 \\ \frac{26x + 19 - 70x - 10}{15} = - 5 \\ \frac{ - 44x + 9}{15} = - 5 \\ - 44x + 9 = - 5 \times 15 \\ - 44x + 9 = - 75 \\ - 44x = - 75 - 9 \\ - 44x = - 84 \\ x = \frac{ - 84}{ - 44} \\ x = \frac{21}{11}$