3x+6=2x+13
3x+6=2x+13
x = 7
x=7
3x 6=2x 13
3x-2x=13-6
1x=7
x=7/1
x=7
To solve the equation 3x + 6 = 2x + 13, we need to isolate the variable x on one side of the equation. Here's how we can do it step by step:
Step 1: Start with the given equation: 3x + 6 = 2x + 13.
Step 2: To isolate x, we want to get rid of the constant terms on both sides of the equation. In this case, we have a constant term of 6 on the left side and a constant term of 13 on the right side.
Step 3: To eliminate the constant term of 6 on the left side, we can subtract 6 from both sides of the equation:
3x + 6 - 6 = 2x + 13 - 6
Simplifying gives us:
3x = 2x + 7
Step 4: Now we want to eliminate the 2x term on the right side. To do this, we can subtract 2x from both sides of the equation:
3x - 2x = 2x + 7 - 2x
Simplifying gives us:
x = 7
Step 5: Therefore, the solution to the equation 3x + 6 = 2x + 13 is x = 7.