write the following as an equation. then solve
three times a number, minus 9 is equal to two times the number plus 8 find the number.
Let's represent the number as "x".
The equation for "three times a number, minus 9 is equal to two times the number plus 8" can be written as:
3x - 9 = 2x + 8
To solve for "x", we can start by isolating the variable.
Subtracting 2x from both sides of the equation:
3x - 2x - 9 = 2x - 2x + 8
x - 9 = 8
Next, we can add 9 to both sides of the equation:
x - 9 + 9 = 8 + 9
x = 17
Therefore, the number we are looking for is 17.
Let's assign a variable to represent the number. We'll call it "x".
The equation can be written as:
3x - 9 = 2x + 8
To solve for x, we'll simplify the equation by collecting like terms and isolating x on one side.
First, let's eliminate the terms with x on the right side of the equation by subtracting 2x from both sides:
3x - 2x - 9 = 2x - 2x + 8
Simplifying further:
x - 9 = 8
Next, we'll isolate x by adding 9 to both sides:
x - 9 + 9 = 8 + 9
Simplifying further:
x = 17
Therefore, the number is 17.
To write this situation as an equation, let's assume the number is represented by the variable "x."
The sentence "Three times a number, minus 9" can be written as 3x - 9.
The sentence "Two times the number plus 8" can be written as 2x + 8.
So, our equation becomes: 3x - 9 = 2x + 8.
To solve for x, we will isolate x on one side of the equation. We can do this by subtracting 2x from both sides of the equation:
3x - 2x - 9 = 2x - 2x + 8.
Simplifying the left side and the right side, we have:
x - 9 = 8.
Next, add 9 to both sides of the equation to get:
x - 9 + 9 = 8 + 9.
Simplifying both sides further:
x = 17.
Therefore, the number is 17.