How do you solve $7 = \frac{5}{x + 4}$ $7= \frac { 5} { x + 4}$ ?

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Answer 1 · 2017-06-21T14:38:53

$x = - \frac{23}{7}$ $x = -23/7$

1. Multiply both sides by $(x + 4)$ $(x+4)$ .

$7 = \frac{5}{x + 4}$ $7 = (5)/(x+4)$

$(x+4)(7) = ((5)/cancel(x+4))*cancel((x+4))$

$(x+4)(7) = 5$

2. Distribute the 7.

$7x + 28 = 5$

3. Subtract 28 from both sides.

$7x + 28 - color(blue)28 = 5 - color(blue)28$
$7x = -23$

4. Divide both sides by 7.

$(7x)/7 = (-23)/7$

$x = -23/7$

That's your final answer!

How do you solve 7= \frac { 5} { x + 4}7=5x+47= \frac { 5} { x + 4}?