x-3*2x+1=8
If the equation is
x-[3*(2x+1)]=8, then
multiply 3 times what is inside the parentheses.
x-[6x+3]=8
now remove the parentheses (in this case the brackets).
x-6x-3=8
combine x terms.
-5x-3=8
move the 3 to the other side(change the sign when you do so).
-5x=8+3
-5x=11
Now multiply both sides by -1 (that is legal; i.e., whatever we do to one side we must do to the other).
5x=-11
Divide both sides by 5.
5x/5 = -11/5
x=-11/5
Try using PEMDAS to help you remember the order of operations.
P-Parentheses
E-Exponents
M-Multiplication
D-Division
A-Addition
S-Subtraction
Do you have any parenthesis? No. Are there any exponents? No. Any Multiplication? Yes. Start there.
-3*2x = -6x
Now the problem reads...
x-6x+1=8
Any division? No. Addition? Yes. However now it no longer matters what order you take things in. But for other problems make sure you always check before finishing your own way.
I first brought the 1 to the other side of the equation by subtraction...
x-6x=7
And x-6x is a negative value... -5x
So... -5x=7
To get the x by itself divide both sides by -5
You will get x=-7/5 for an answer
Feel free to ask any questions you may have. I'm happy to help.
--Corin
Ooops, Sorry DrBob. I didn't realize you had already answered.
We found different answers because I added parentheses to distinguish between two possible scenarios.
To solve the equation x - 3 * 2x + 1 = 8, follow these steps:
1. Start by simplifying the equation using the order of operations (PEMDAS/BODMAS). In this case, begin by performing the multiplication first. Multiply 3 and 2x to get 6x.
- The equation becomes: x - 6x + 1 = 8.
2. Combine like terms. Combine x and -6x to get -5x.
- The equation becomes: -5x + 1 = 8.
3. Move the constant term (1) to the other side of the equation by subtracting 1 from both sides:
-5x + 1 - 1 = 8 - 1.
Simplify:
-5x = 7.
4. To solve for x, divide both sides of the equation by -5:
-5x / -5 = 7 / -5.
Simplify:
x = -7/5 or x = -1.4.
Therefore, the solutions to the equation x - 3 * 2x + 1 = 8 are x = -7/5 or x = -1.4.