Question

Solve the equation 2(x-4)=-22

Answer 1

Hello Lexi!

Answer:  ⇒⇒⇒⇒⇒⇒ $x=-7$

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Step-by-step explanation:

First you had to divide by 2 from both sides of equation.

$\frac{2(x-4)}{2}=\frac{-22}{2}$

Simplify.

$\frac{2(x-4)}{2}=x-4$

$\frac{2(x-4)}{2}$

Divide by the numbers.

$\frac{2}{2}=1$

$=x-4$

$\frac{-22}{2}=-11$

Apply the fraction rule.

$\frac{-22}{2}$

$=-\frac{22}{2}$

Then you divide by the number.

$\frac{22}{2}=11$

$=-11$

$x-4=-11$

Add by 4 from both sides of equation.

$x-4+4=-11+4$

Simplify it should be the correct answer.

$x=-7$

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Hope this helps!

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Have a great day!

-Charlie

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Answer 2

Alright so
2 (x-4)= -22

First distribute 2 into x-4.
You first multiply 2 and x, since we don’t know what x is, we just combine 2x.
Now then there’s -4. You multiply 2 by -4 which equals to -8.

2x -8 = -22

Get rid of the constant which is -8. The coefficient is the number that is attached to your variable (2 is the coefficient and x is the variable, just keep that in mind.)
You do inverse operations. The opposite of -8 is +8 so -8 + 8 is 0, so that cancels out. Then you do the same to -22, -22 + 8 is -14.


2x = -14


2 is multiplying x so the opposite of that is dividing. We divide 2 on both sides. 2 divided by 2 cancels each other out and -14 divided by 2 is -7.

X= 7