15. Solve the equation for x: 2x+b=c
Check this process:
Step 1: 2x+b−b=c−b
Step 2: 2x=c−b
Step 3: 2x−2=c−b−2
Step 4: x=c2−b−2
The process that you provided is incorrect. Here is the correct process to solve the equation:
Step 1: Subtract b from both sides of the equation: 2x + b - b = c - b
Simplifying, we get: 2x = c - b
Step 2: Divide both sides of the equation by 2: (2x)/2 = (c - b)/2
Simplifying, we get: x = (c - b)/2
So, the correct solution for x is x = (c - b)/2.
Actually, the steps you provided are not correct. Let's go through the correct steps to solve the equation 2x + b = c for x.
Step 1: Start with the equation 2x + b = c.
Step 2: Subtract b from both sides of the equation to isolate the term with x. This gives us 2x = c - b.
Step 3: Divide both sides of the equation by 2 to solve for x. This gives us x = (c - b) / 2.
So the solution for x is x = (c - b) / 2.
To solve the equation for x: 2x + b = c, you can follow these steps:
Step 1: Subtract b from both sides of the equation to isolate the term with x. This step involves cancelling out the term with b on the left side. The equation becomes 2x = c - b.
Step 2: If necessary, simplify the equation. In this case, no further simplification is needed.
Step 3: Divide both sides of the equation by 2 to solve for x. This involves canceling out the coefficient of x on the left side by dividing both sides by 2. The equation becomes x = (c - b) / 2.
Step 4: If desired, you can simplify further. In this case, no further simplification is possible.
So, the solution for x is x = (c - b) / 2.