Which equation has the solution x=-4? a 2(x-4)=16 b 3x+6-2x=-2 c 1/4x+4=3 d(x+6)3=-6 need help plz

Letter C is Right.

Step-by-step explanation:

Letter A: 2(x-4)=16

2*x=2x

2*-4=-8

so Letter A equals 2x-8=16

But we can definitely simplify this by adding 8 to both sides:

2x-8+8=16+8=2x=24

Now you have to simplify 2x=24 by dividing by 2 on both sides.

2x/2=24/2

x=12

So Letter A is wrong.

Letter B: 3x+6-2x=-2

Step 1: Simplify both sides of the equation.

3x+6−2x=−2

3x+6+−2x=−2

(3x+−2x)+(6)=−2(Combine Like Terms)

x+6=−2

x+6=−2

Step 2: Subtract 6 from both sides.

x+6−6=−2−6

x=−8

Letter B is incorrect

Letter C: 1/4x+4=3

Step 1: Subtract 4 from both sides.

1 /4 x+4−4=3−4

1 /4 x=−1

Step 2: Multiply both sides by 4.

4*( 1 /4 x)=(4)*(−1)

x=−4

So Letter C is right.

Letter D:(x+6)3=-6

Step 1: Simplify both sides of the equation.

(x+6)(3)=−6

(x)(3)+(6)(3)=−6(Distribute)

3x+18=−6

Step 2: Subtract 18 from both sides.

3x+18−18=−6−18

3x=−24

Step 3: Divide both sides by 3.

3x /3 = −24 /3

x=−8

So letter D is wrong.

19

step-by-step explanation:

p(x)= 8 x³ - 36 x² + 54 x - 27

q(x) = 2 x -3

you can check your mistake and then you can choose the correct option.

dividend =   8 x³ - 36 x² + 54 x - 27

divisor = 2 x -3

if you want to find quotient, proceed as follows

q(x)= 0

2 x - 3=0

x =

now , i have used division method , to find quotient and remainder