solve the equation. Round answer to three decimal places
1 - 5 (x-5)=6x+ 1
7 6 26 25 12
What are the numbers for below the equation?
Hi Rella:
Here is the question:
solve the equation. Round answer to three decimal places
1/7 - 5/6 (x-5)/26=6x/25+1/12
thank you
I get 0.808
1-5(x-5)=6x+1
-Solve the left side first since the right side of the equal side can't be combined.
1-5(x-5)
multiply 5 and x because 5 is right next to the parenthesis.
---> 5*x= 5x
then multiply 5 and 5 because of the distributive rule: 5*5=25
After that, you should have:
1-5x-25=6x+1
Continue by combining like terms.
Since the 25 in the left of the equation has a subtract sign to the left of it, it has to be a negative. So to make -25 a zero, add it by 25: -25 + 25= 0
Since you added 25 to -25, also add it to the 1 because of combining like terms.
1+25= 26
Now you have: 26-5x=6x+1
Now combine like terms again, but this time in the both sides of the equal sign.
First, let's start with the numbers.
Let's make 1 a 0. 1-1=0
Then, we also subtract it to the 26 because they are alike (no variables.)
26-1=25
Here is what you get:
25-5x=6x
Do the same with the variables:
-5X+5X=0
5x+6x= 11x
Now you have:
25=11x
Now wrap it up by finding X.
ignore what I just said
To solve the equation 1 - 5(x-5) = 6x + 1, we'll begin by simplifying both sides of the equation.
Let's start by distributing -5 to the terms inside the parentheses:
1 - 5x + 25 = 6x + 1
Next, we can combine like terms by adding or subtracting the coefficients of the same variables:
-5x + 26 = 6x + 1
Now, let's isolate the x-term by moving the constant term to the other side of the equation. To do this, we can subtract 1 from both sides:
-5x + 26 - 1 = 6x + 1 - 1
-5x + 25 = 6x
Next, we'll try to get all terms involving x on one side of the equation and constant terms on the other side. To do this, we can subtract 6x from both sides:
-5x - 6x + 25 = 6x - 6x
Now, we can combine like terms again:
-11x + 25 = 0
To isolate x, we'll subtract 25 from both sides:
-11x + 25 - 25 = 0 - 25
-11x = -25
Finally, we can solve for x by dividing both sides by -11:
x = -25 / -11
Using a calculator, we can determine the decimal value of x:
x ≈ 2.273 (rounded to three decimal places)
Therefore, the solution to the equation 1 - 5(x-5) = 6x + 1 is approximately x = 2.273.