An equation is shown below:
9(3x − 16) + 15 = 6x − 24
Part A: Show or explain the calculations you use to solve the equation.
Part B: What value of x makes the equation true?
Part A:
To solve the equation, we first distribute the 9 on the left side:
27x - 144 + 15 = 6x - 24
Next, combine like terms:
27x - 129 = 6x - 24
Subtract 6x from both sides:
21x - 129 = -24
Add 129 to both sides:
21x = 105
Divide by 21:
x = 5
Part B:
The value of x that makes the equation true is x = 5.