is 38-7x=2-7(x+6) -40,-38,no solution ,or infinite
To solve the equation 38-7x=2-7(x+6), we can simplify it step by step:
38 - 7x = 2 - 7(x + 6)
38 - 7x = 2 - 7x - 42
-7x + 7x + 38 = -7x - 7x - 40
38 = -14x - 40
14x = 78
x = 78/14
x = 5.57
Therefore, the solution to the equation is x = 5.57.
To solve the equation 38 - 7x = 2 - 7(x + 6), we will follow these steps:
Step 1: Distribute the negative sign to the terms inside the parentheses:
38 - 7x = 2 - 7x - 42
Step 2: Combine like terms on the right side:
38 - 7x = -40 - 7x
Step 3: Add 7x to both sides of the equation:
38 = -40
Step 4: As the equation 38 = -40 is not true, there is no solution to the equation.
Therefore, the correct answer is "no solution."
To find the solution to the equation 38 - 7x = 2 - 7(x + 6), we need to simplify and solve for x.
Let's start by distributing the -7 to the terms inside the parentheses:
38 - 7x = 2 - 7x - 42
Next, combine like terms on the right side:
38 - 7x = -40 - 7x
Now, let's isolate the variable x by getting rid of the common terms on both sides of the equation. We can do this by adding 7x to both sides:
38 = -40
However, we notice that there is no x-term remaining on either side of the equation. This means that x's cancel out and we are left with a false statement, which is 38 = -40. Therefore, there is no solution to this equation.
So, the answer to the question is: no solution.