Question

Solve 7x − 2(x + 1) = 6x + 14

A. x = −12
B. x = 12
C. x = −16
D. x = 16
I don't know what to do here.

Answer 1

Answer: C, x = -16

Explanation:

1. Distribute

7x-2(x+1)=6x+14

7x-2x-2=6x+14

2. Combine like terms

7x-2x-2=6x+14

5x-2=6x+14

3. Add 2 to both sides

5x-2+2=6x+14+2

4. Simplify

Add the numbers

5x=6x+16

5. Subtract 6x from both sides

5x-6x=6x+16-6x

6. Simplify

Combine like terms

-x=16

7. Divide both sides by the same factor

-x/-1=16/-1

8. Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer 2

C.x=-16
1. Distribute -2
7x-2(x+1)=6x+14
7x-2x-2=6x+14

2.combine like terms

7x-2x-2=6x+14
5x-2=6x+14

3.add 2 to isolate x on one side

5x-2=6x+14
5x=6x+16

4. Subtract 6x from both sides to isolate the number

5x=6x+16
-x=16

5. Divide by -1 on both sides to make x positive

-x=16
X=-16