Respuesta :

Hello!

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

Our final answer would be,
[tex]x=-2[/tex]

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

- TetraFish
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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