How do you solve $\frac{7}{15} x + \frac{5}{6} = \frac{2}{3} x + \frac{3}{5}$ $7/15x+5/6=2/3x+3/5$ ?

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How do you solve $\frac{7}{15} x + \frac{5}{6} = \frac{2}{3} x + \frac{3}{5}$ $7/15x+5/6=2/3x+3/5$ ?

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Answer 1 · 2018-04-11T18:01:50

$x = \frac{7}{6}$ $x = 7/6$

Explanation:

move the $x$ $x$ values on one side, and the numbers on the other side

$\frac{7}{15} x + \frac{5}{6} = \frac{2}{3} x + \frac{3}{5}$ $7/15 x + 5/6 = 2/3 x + 3/5$

$\frac{7}{15} x - \frac{2}{3} x$ $7/15 x - 2/3 x$ = $\frac{3}{5} - \frac{5}{6}$ $3/5 - 5/6$

$- \frac{1}{5} x = - \frac{7}{30}$ $- 1/5 x = - 7/30$

$x = - \frac{7}{30} \div - \frac{1}{5}$ $x = - 7/30 -:- 1/5$

$x = \frac{7}{6}$ $x = 7/6$

Answer 2 · 2018-04-11T19:09:59

$\frac{7}{6}$ $7/6$

Explanation:

$\frac{7}{15} + \frac{5}{6} = \frac{2}{3} x + \frac{3}{5}$ $7/15+5/6=2/3x+3/5$

multiply both sides by $30$ $30$

$:.14x+25=20x+18$

$:.14x-20x=18-25$

$:.-6x=-7$

multiply both sides by $-1$

$:.6x=7$

$:.x=7/6$
~~~~~~~~~~~~~~

check:-

substitute $x=7/6$

$:.7/15(7/6)+5/6=2/3(7/6)+3/5$

$:.49/90+5/6=7/9+3/5$

multiply both sides by $90$

$:.49+75=70+54$

$:.124=124$

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How do you solve $\frac{7}{15} x + \frac{5}{6} = \frac{2}{3} x + \frac{3}{5}$ $7/15x+5/6=2/3x+3/5$ ?

2 Answers

Explanation:

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How do you solve $\frac{7}{15} x + \frac{5}{6} = \frac{2}{3} x + \frac{3}{5}$ $7/15x+5/6=2/3x+3/5$ ?