How do you simplify 3(2x + 1) + 2 (x-4)?

8x- 5

= 3(2x + 1) + 2(x - 4)
= 6x + 3 + 2x - 8
= 8x - 5

Answer: 8x - 5

Checking back to 3(2x + 1):
= 8x - 5 - 2(x - 4)
= 8x - 5 - 2x + 8
= 6x + 3 or 3(2x + 1)

3(2x + 1) + 2(x - 4) Given
6x + 3 + 2x - 8 Distribute
8x - 5 Add/ Subtract Like numbers

Final answer 8x - 5

You would use the distubutive propery to simplify this problem. 4(x-3)^2 - 2(2 x+1)^2 + 7 = 3 (4x-12)^2 - (4x+2)^2 + 7=3 16x-144-16x+4+7=3

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

6x+3+2x-8= 8x-5

3(2x + 1) + 2(x - 4)
= 3*2x + 3*1 + 2*x - 2*4
= 6x + 3 + 2x - 8
= 6x + 2x + 3 - 8
= 8x - 5

Expand it first.

6x+1+2x-4

Then simplify it.

8x-3 <======== answer

3(2x + 1) =6x+3
2 (x-4) =2x-8
----------------------------
3(2x + 1) + 2 (x-4)=6x+3+2x-8=(8x-5)

6x + 3 + 2x - 8

8x - 5

Using the Distributive Property, multiply the individual terms:
(3*2x + 3*1) + (2*x-2*4)

Add like terms (Commutative Property)
(3*2x + 2*x) + (3*1 + -2*4)
(6*x + 2*x) + (3 - 8)
8*x - 5

3(2x+1)+2(x-4)=6x+3+2x-8
=6x+2x+3-8
=8x-5