Question

Will give a medal.
Solve for x: 2(x+7)-3(2x-4)=-18

A. x=5
B. x=11
C. x=-11
D. x=-5

Answer 1

distribute first

2(x+7) = ?

Answer 2

2x+2*7

2x+14?

Answer 3

good

now, what is 3(2x-4)?

Answer 4

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

6x-12?

Answer 5

good, now on the left side we have

2x + 14 - (6x-12) which equals
2x + 14 - 6x + 12

we simplify that to get

-4x + 26 = -18

know where to go from there?

Answer 6

Do we divide -4 from each side of the equation?

Answer 7

we could, if you wanted to. that would give us

x - 6.5 = 4.5

know where to go now?

Answer 8

x-6.5=4.5
x=6.5+4.5
x=11?

Answer 9

great! x = 11 is your answer

Answer 10

Thanks :)