Question

Which expression is equivalent to 3(x – 6) + 5(x – 4)? A. 8x – 10 B. 15x2 – 38x C. 8x – 38 D. 9x – 22

Answer 1

The answer is C.

3(x-6)+5(x-4) = 3•x+3•-6 = 3x-18 and 5•x+5•-4 = 5x-20

3x-18+5x-20

3x+5x = 8x and -18+-20 = -38

Which gives you...

8x-38

Answer 2

C. 8x – 38

Explanation:

he equation.

All the options have the parenthesis solves, with all the numbers distribute, so first, you need to do that.

`3(x – 6) + 5(x – 4)=`

`(3*x) - (3*6) + (5*x) -(4*5)=`

now, solve what you can

`3*x=3x\\3*6=18\\5*x=5x\\4*5=20`

And put it all together

`3x - 18 + 5x - 20`

You can link the X therms and the no X terms

`(3x + 5x) =8x\\(-18 - 20) =-38`

And the final equation is: 8x - 38