show the steps of doing the following expression and
Solve the following equation, show inverse operations to prove your answer:
3x – 31 = 4(x + 3)
To solve the equation 3x - 31 = 4(x + 3), we need to simplify it first:
3x - 31 = 4x + 12
To isolate x, we need to get rid of the variables on one side. We can start by getting rid of the 4x on the right side by using the inverse operation which is subtracting 4x from both sides:
3x - 4x - 31 = 4x - 4x + 12
-simplify-
-x - 31 = 12
Next, let's get rid of the -31 on the left side. The inverse operation is adding 31 to both sides:
-x - 31 + 31 = 12 + 31
-simplify-
-x = 43
Finally, to solve for x, we need to get rid of the negative sign in front of it. The inverse operation is multiplying both sides by -1:
-1 * -x = 43 * -1
-simplify-
x = -43
Therefore, the solution to the equation 3x - 31 = 4(x + 3) is x = -43.
can you put this equation in a simpler version to help me understand
Certainly! Here's a simpler version of the equation along with the steps to solve it:
3x – 31 = 4(x + 3)
1. Distribute the 4 on the right side:
3x – 31 = 4x + 12
2. Get rid of the 4x on the right side by subtracting 4x from both sides:
-31 = x + 12
3. Get rid of the 12 on the right side by subtracting 12 from both sides:
-31 - 12 = x
-43 = x
Therefore, the solution to the equation 3x – 31 = 4(x + 3) is x = -43.