24 + 3(x - 6) = 8x - 74?

24 + 3(x-6) = 8x - 74

figure out the parenthesis

24 + 3x - 18 = 8x - 74

condense the left side

6 + 3x = 8x - 74

move the 74 over and get the x's on one side

80 = 5x

divide by 5x

80 / 5 = 5x/5x

16 = x

double check your work by substituting all of the x's with 16

24 + 3(16 - 6) = 8 (16) - 74

24 + 3 (10) = 8 (16) - 74

24+30 = 128 - 74

54 = 54

x is definitely 16 because checking our work equals out

6 + 3x = 8x - 74
80 = 5x
x = 16

24 + 3(x - 6) = 8x - 74
24 + 3(x) - 3(6) = 8x - 74
24 + 3x - 18 = 8x - 74
3x - 8x + 24 - 18 = -74
-5x + 6 = -74
-5x = -74 - 6
x = -80/(-5)
x = 16

1. distribute the 3 within the parenthesis to get 24+3x-18=8x-74
2. add 24 to 3x-18 to get 3x+6=8x-74
3.get x by it self on one side of the equation 3x+6=8x-74 by subtracting 3x from both sides and adding 74 to both sides to get 5x=80, now divide both sides by 5 to get x=16

24+3x-18=8x-74
5x=80
x=16

24 + 3(x - 6) = 8x - 74
distribute the 3

24 + 3x - 18 = 8x - 74
do 24 - 18

6 + 3x = 8x - 74
subtract 3x

6 = 5x - 74
add 74

80 = 5x
divide by 5

16 = x

Hope this helps! :) Good luck.

24 + 3x - 18 = 8x - 74 [multiply out brackets]
24 + 3x = 8x - 56 [add 18 to both sides]
80 + 3x = 8x [add 56 to both sides]
80 = 5x [take 3x from both sides]
16 = x [divide both sides by 5]

--------
x = 16
--------

24 + 3(x - 6) = 8x - 74
24 + 3x - 18 = 8x - 74
3x + 6 = 8x - 74
6 + 74 = 8x - 3x
80 = 5x
x = 16

First, distribute the 3.
3(x) 3(6) = 3x-18

So, the problem is
24+3x-18=8x-74
Combine like variables
6+3x=8x-74
Get all the same variables on the same side. Let's use 74, becuase when you it becomes positive when combined
80+3x=8x
Then, subtract 3x, from each side
80=5x
Divide each side by 5
x=16

24 + 3x - 18 = 8x - 74
24 - 18 + 74 = 8x - 3x
80 = 5x
16 = x
or
x = 16