How do you solve $2 x + 12 - 7 x = - 2 ?$ $2x+12-7x=-2?$

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Answer 1 · 2018-06-23T19:36:51

See a solution process below:

First, group and combine like terms on the left side of the equation:

$2 x + 12 - 7 x = - 2$ $2x + 12 - 7x = -2$

$2 x - 7 x + 12 = - 2$ $2x - 7x + 12 = -2$

$(2 - 7) x + 12 = - 2$ $(2 - 7)x + 12 = -2$

$- 5 x + 12 = - 2$ $-5x + 12 = -2$

Next, subtract $12$ $color(red)(12)$ from each side of the equation to isolate the $x$ $x$ term while keeping the equation balanced:

$- 5 x + 12 - 12 = - 2 - 12$ $-5x + 12 - color(red)(12) = -2 - color(red)(12)$

$- 5 x + 0 = - 14$ $-5x + 0 = -14$

$- 5 x = - 14$ $-5x = -14$

Now, divide each side of the equation by $- 5$ $color(red)(-5)$ to solve for $x$ $x$ while keeping the equation balanced:

$\frac{- 5 x}{- 5} = - \frac{14}{- 5}$ $(-5x)/color(red)(-5) = -14/color(red)(-5)$

$(color(red)(cancel(color(black)(-5)))x)/cancel(color(red)(-5)) = 14/5$

$x = 14/5$

How do you solve 2x+12-7x=-2?2x+12−7x=−2?2x+12-7x=-2?