Question

−3(4x−2)=21−4(1+4x) solve for x

Answer 1

Answer:

x = 2.75

Explanation:

Solve for x:

Use distributive property.

−3(4x − 2) = 21 − 4(1 + 4x)  

Combine like terms.

-12x + 6 = 21 - 4 - 16x

Add -12x on both sides.

-12x + 6 = 17 - 16x

+ 12x             + 12x

Subtract 17 on both sides.

6 = 17 - 4x

-17  -17

Divide -4 on each side to get x alone.

-11 = -4x

----   -----

-4      -4

And you get your solution to x.

2.75 = x

Check:

Substitute 2.75 to x.

−3(4(2.75) − 2) = 21 − 4(1 + 4(2.75))  

Multiply 2.75 by 4.

-3(11 - 2) = 21 - 4(1 + 11)

Distribute.

-33 + 6 = 21 - 4 - 44

Subtract 21 by 4.

-33 + 6 = 17 - 44

Subtract.

-27 = -27

Answer 2

Step-by-step explanation:

Use the distributive formula to solve for x:

a(b + c) = ab + ac

-3(4x - 2) = 21 - 4(1 + 4x)

1. Use distributive property:

-12x + 6 = 21 - 4 - 16x

2. Simplify:

-12x + 6 = 17 - 16x

3. Add 16x to both sides

-12x + 16x + 6 = 17 - 16x + 16x

4. Simplify:

4x + 6 = 17

5. Subtract 6 from both sides

4x + 6 - 6 = 17 - 6

6. Simplify

4x = 11

7. Now, divide both sides by 4

4x/4 = 11/4

8. Simplify:

x = 11/4 <------ Answer

Hope this Helped!!

~Shane