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How do you solve $- 6 x + 2 = - 7 x - 10$ $- 6x + 2= - 7x - 10$ ?

1 Answer

May 21, 2017

$x = - 12$ $x=-12$

Explanation:

First, add $7 x$ $7x$ to both sides.

$- 6 x + 2 + 7 x = - 7 x - 10 + 7 x$ $-6x+2+color(red)(7x)=-7x-10+color(red)(7x)$

Now, add together the $x$ $x$ terms.

$(7 - 6) (x) + 2 = (7 - 7) (x) - 10$ $(color(red)7-6)(x)+2 = (color(red)7-7)(x)-10$

$XXXXX. x + 2 = - 10$ $color(white)"XXXXX."x+2 = -10$

Now subtract 2 from both sides.

$X-.X. x + 2 - 2 = - 10 - 2$ $color(white)"X-.X."x+2-color(blue)2=-10-color(blue)2$

$XXXXXXX--. x = - 12$ $color(white)"XXXXXXX--."x=-12$

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