How do you solve $\frac{x}{2} = \frac{x + 8}{7}$ $x/2=(x+8)/7$ ?

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How do you solve $\frac{x}{2} = \frac{x + 8}{7}$ $x/2=(x+8)/7$ ?

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Answer 1 · 2018-05-19T16:56:31

$x = \frac{16}{5}$ $x=16/5$

Explanation:

show below

$\frac{x}{2} = \frac{x + 8}{7}$ $x/2=(x+8)/7$

$7 x = 2 \cdot (x + 8)$ $7x=2*(x+8)$

$7 x = 2 x + 16$ $7x=2x+16$

$7 x - 2 x = 16$ $7x-2x=16$

$5 x = 16$ $5x=16$

$x = \frac{16}{5}$ $x=16/5$

Answer 2 · 2018-05-19T17:00:05

$\frac{16}{5}$ $16/5$

Explanation:

Here

$\frac{x}{2} = \frac{x + 8}{7}$ $x/2= (x+8)/7$

Cross-multiplying, we get

$7 x = 2 (x + 8)$ $7x=2(x+8)$

$7 x = 2 x + 16$ $7x=2x+16$

$7 x - 2 x = 16$ $7x-2x=16$

$5 x = 16$ $5x=16$

Hence

$x = \frac{16}{5}$ $x=16/5$

Answer 3 · 2018-05-19T22:54:51

$x = \frac{16}{5}$ $x=16/5$

Explanation:

Use the cross multiply, kiss and smiles, or however you like to call it method where you multiply opposites, so the divide is removed.

$\Rightarrow 7 (x) = 2 (x + 8)$ $rArr 7(x)=2(x+8)$

$\Rightarrow 7 x = 2 x + 16$ $rArr 7x=2x+16$

$\Rightarrow 5 x = 16$ $rArr 5x=16$

$\Rightarrow x = \frac{16}{5}$ $rArr x=16/5$

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