Respuesta :
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
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