3(x-2)+2(x+1)=-14 plz show work

2 answers:

5 0

Hello!

First, let's write the problem.
$3\left(x-2\right)+2\left(x+1\right)=-14$
Apply the distributive property on the left side of the equation.
$=3x-6+2x+2$
Add like terms.
$=5x-4$
Let's plug that in into the original equation.
$5x-4=-14$
Add 4 to both sides.
$5x-4+4=-14+4$
$5x=-10$
Divide both sides by 5.
$\frac{5x}{5}=\frac{-10}{5}$

Our final answer would be,
$x=-2$

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

dmitriy555 [2]3 years ago

3 0

Expand ~ 3x−6+2x+2=−14

Simplify ~ 5x−4=−145x-4=-145x−4=−14

Add 4 to both sides~ 5x=−14+4

Simplify ~ 5x=−10

Divide both sides by 5~ x=−5 divided by 10
Simplify~ x=−2

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To generate each of the red points, you'll plug in various x values to get corresponding y values.

For instance, plug in x = 0 and we get...
y = -|x-6| - 6
y = -|0-6| - 6
y = -|-6| - 6
y = -6 - 6
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So when x = 0, the y value is -12. The x and y value pair up to get (x,y) = (0,-12)

Another example: plug in x = 2
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So the point (2,-10) is on the graph

The idea is to generate as many points as possible so we get an idea of what this thing looks like.

Generate enough points, and you'll get what you see in Figure 1 (see attached image)

Then draw a line through all of the points. The more points you use, the more accurate the drawing. Doing that will generate the blue function curve you see in Figure 2 (also attached)