How do you solve $- \frac{x}{3} - 5 = 2 x$ $-x/3-5=2x$ ?

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Answer 1 · 2016-01-10T12:50:41

$x = - \frac{15}{7}$ $x=-15/7$

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

Multiply both sides by $3$ $color (red)3$ .

$\Rightarrow 3 (- \frac{x}{3} - 5) = 3 (2 x)$ $implies color(red)3(-x/3-5)=color(reD)3(2x)$

$\Rightarrow - x - 15 = 6 x$ $implies-x-15=6x$

Add $x$ $color (purple) x$ on both sides.

$\Rightarrow x - x - 15 = 6 x + x$ $implies color(purple)x-x-15=6x+color(purplE)x$

$\Rightarrow - 15 = 7 x$ $implies -15=7x$
$\Rightarrow 7 x = - 15$ $implies 7x=-15$

Divide both sides by $7$ $color (blue)7$ .

$\Rightarrow \frac{7 x}{7} = - \frac{15}{7}$ $implies (7x)/color (blue)7=-15/color(blue)7$

$\Rightarrow x = - \frac{15}{7}$ $implies x=-15/7$

How do you solve −x3−5=2x-x/3-5=2x?