If the problem is: 3x-22 = x+80 what would x equal? Please show your work.
Wouldn't x equal 51?
Let's see if your answer checks by substituting 51 for x:
3(51) - 22 = 51 + 80
153 - 22 = 131
131 = 131
It checks, so you are correct!
you are correct.
Which you could have determined by evaluating
3*51 - 22 =?= 51+80
153-22 =?= 131
yes
Yes.
To solve this equation, we need to isolate the variable x on one side of the equation. Let's go step by step:
1. Start by simplifying both sides of the equation by combining like terms:
3x - 22 = x + 80
Subtract x from both sides:
3x - x - 22 = x - x + 80
Simplify:
2x - 22 = 80
2. Next, isolate the x-term by moving the constant term (-22) to the other side of the equation. To do this, we will add 22 to both sides:
2x - 22 + 22 = 80 + 22
Simplify:
2x = 102
3. Finally, we solve for x by dividing both sides of the equation by 2:
2x/2 = 102/2
Simplify:
x = 51
Therefore, x equals 51.