How do you solve $5/13 - 2x = -8/13$ ?

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Answer 1 · 2015-07-27T11:44:15

Isolate $x$ on one side of the equation.

In order to solve this equation, you have to isolate $x$ on one side of the equation.

You can do that by adding $-5/13$ to both sides of the equation to get

$color(red)(cancel(color(black)(-5/13))) + color(red)(cancel(color(black)(5/13))) - 2x = -8/13 - 5/13$

$-2x = (-8 - 5)/13 = -color(red)(cancel(color(black)(13)))/(color(red)(cancel(color(black)(13)))$

$-2x = -1$

Finally, divide both sides of the equation by $-2$ to get

$(color(red)(cancel(color(black)(-2))) * x)/color(red)(cancel(color(black)(-2))) = (-1)/(-2)$

$x = color(green)(1/2)$

Answer 2 · 2015-07-27T11:47:55

$color(blue)(x=1/2$

$5/13−2x=−8/13$
Here, the L.C.M is $13$

$5/13−((2x)*13)/13=−8/13$

$5/cancel13−(26x)/cancel13=−8/cancel13$

$5 -26x=-8$

$5 + 8 = 26x$

$13 = 26x$

$color(blue)(x=1/2$

How do you solve 5/13 - 2x = -8/135/13 - 2x = -8/13?