Question

Expand and simplify 6(2x - 3) - 2(2x + 1)

Answer 1

Answer: 8x - 20

Explanation: To simplify the problem you see here, we are going to use both the distributive property and combining like terms.

But before we do anything, we need to change

these minus signs to plus negatives.

Now we can distribute the 6 through the first set of parentheses

and the -2 through the second set of parentheses.  

That gives us 6(2x) or 12x + 6(-3) or -18 + -2(2x)

which is + -4x + -2(1) which is + -2.

Now we can combine like terms.

12x + -4x is 8x and -18 + -2 is -20.

So 8x - 20 is our final answer.

Answer 2

Answer:

8x - 20

Step-by-step explanation:

6(2x - 3) - 2(2x + 1)

Distribute

6(2x) -6( 3) - 2(2x) -2( 1)

12x -18 -4x -2

Combine like terms

12x -4x    -18 -2

8x-20