HOW DO I DO:
1/3(3x+9)=2x+3?
HOW DO I SOLVE IT?
1/3(3x+9)=2x+3
Distributive property: 1x + 3 = 2x + 3
1x = 2x
1x / 1 = 2x / 1
x = 2x
Now do you see it?
Thanks so much!
But why doesn't it work when I do:
1/3(3x+9)=2x+3
1x + 3 = 2x + 3
1x-2x=3-3
-x=0
????????????????
Your goal is to find x. To do so, you separate the constants from the variables. You cannot subtract 2x in this case, you need to divide.
um.... I think I get it now.
Thank you so much.
You're welcome.
actually, you can subtract the 2x. Your calculations are correct. It still comes out x=0
1/3(3x+9)=2x+3
x + 3 = 2x + 3
x-x + 3 = 2x -x + 3
3 = x +3
3-3 = x + 3 -3
x = 0
characteristics rates
To solve the equation 1/3(3x+9) = 2x+3, you need to perform a series of mathematical operations to isolate the variable x.
Here's how you can solve it step by step:
1. Distribute the 1/3 to both terms inside the parentheses:
(1/3)(3x+9) = 2x + 3
(1/3)*3x + (1/3)*9 = 2x + 3
x + 3 = 2x + 3
2. Simplify the equation:
Since the constants on both sides of the equation are the same (3), we can subtract 3 from both sides to eliminate it:
x + 3 - 3 = 2x + 3 - 3
x = 2x
3. Now, we have x on both sides, so we need to isolate it to one side. To do this, we can subtract 2x from both sides:
x - 2x = 2x - 2x
-x = 0
4. Simplify the equation further:
Since -x = 0, we know that x must be equal to 0 as well:
x = 0
Therefore, the solution to the equation 1/3(3x+9) = 2x+3 is x = 0.