x 4 / 7 = x+3 / 7 + x+4 / 5 #160; ⇒ x 4 / 7 = 5x+15=7x+28 / 35 #160; ⇒ x 4 / 7 = 12x+43 / 7× 5 #160; ⇒ 5x 20=12x+43 ⇒ 7x= ...

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Commutative Property of Rational Numbers

x-47=x+37+x+4...

Question

$\frac{x - 4}{7} = \frac{x + 3}{7} + \frac{x + 4}{5}$ .

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Solution

$\frac{x - 4}{7} = \frac{x + 3}{7} + \frac{x + 4}{5} \Rightarrow \frac{x - 4}{7} = \frac{5 x + 15 = 7 x + 28}{35} \Rightarrow \frac{x - 4}{7} = \frac{12 x + 43}{7 \times 5} \Rightarrow 5 x - 20 = 12 x + 43 \Rightarrow - 7 x = 43 + 20 - 7 x = 63 x = - 9$

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