Answer:
x = 15
Step-by-step explanation:
THe equation is: 8x - 5x + 155 = 8x + 80
So first we are going to have to simplify the equation so its more workable:
3x + 155 = 8x + 80
Now we are going to subtract 3x from both sides to move the x varbles onto one side:
3x + 155 = 8x + 80
- 3x - 3x
so the equation now looks like this:
155 = 5x + 80
Now we subtract 80 from both sides so that there is only variables on one side and whole numbers on the other:
155 = 5x + 80
- 80 - 80
SO it looks like this:
75 = 5x
Now we divide 75 and 5x by 5 so that we segregate the x variable:
75/5 = 5x / 5
15 = x
Now we check the answer by placing 15 where the x is in the equation:
8x - 5x + 155 = 8x + 80 now 8(15) - 5(15) + 155 = 8(15) + 80
8(15) - 5(15) + 155 = 8(15) + 80
120 - 75 + 155 = 120 + 80
Now we add all the numbers on one side of the equal side and on the other:
120 - 75 + 155 = 120 + 80
200 = 200
Hope this helps you!