Solve. –2(x + 6) = 4?

Hi,

For this question, you need to distribute the -2 over the factor x + 6. To do this, multiply the -2 by each component within the parentheses to get:

-2x - 12 = 4

Now, isolate for the variable x by adding 12 to both sides of the equation to get:

-2x = 16

Finally, we need to get the variable x alone by dividing both sides by -2 to undo the operation of multiplication and get:

x = -8 <=== FINAL ANSWER

I hope that helps you out! Please let me know if you have any other questions!

- 2(x + 6) = 4
- (x + 6) = 2
- x - 6 = 2
x = - 8

Answer: x = - 8

Proof:
- 2(- 8 + 6) = 4
- 2(- 2) = 4
4 = 4

- 2(- 8 + 6) = 4
16 - 12 = 4
4 = 4

x + 6 = - 2
x = - 8

-2(x + 6) = 4
-2x - 12 = 4 (Removing the parenthesis)
-2x -12 + 12 = 4 + 12 (Adding 12 to both sides)
-2x = 16
2x/2 = -16/2 (Dividing both sides by -2)
x = -8

Check by substitution:
-2(-8 + 6) = (-2)*(-2) = 4
Correct!

-2x - 12 = 4
-2x = 16
x = 16/-2 = -8

-2(x + 6) = 4
x + 6 = 4/-2
x + 6 = -2
x = -2 - 6
x = -8

-2(x + 6) = 4
-2x - 12 = 4
-2x = 16
x = -8

-2(x+6)=4
-2x+12=4
-12 -12
________
-2x=-8
---------------
-2 -2 final answer is x=4
x=4

-2(x+6)=4
-2x-12=4
-2x=4+12
-2x=16
x=16/-2
= -8