Jill solves the equation: 3(x - 5) + 2x = 0
Fill in the blanks with the correct values.
3x + + 2x = 0
5x =
x =
3x + -5 + 2x = 0
5x = -5
x = -1
Jill solves the equation: 3(x - 5) + 2x = 0
To solve this equation, we need to expand and simplify:
Step 1: Distribute the 3 to the terms inside the parentheses.
3 * x = 3x
3 * -5 = -15
The equation becomes: 3x - 15 + 2x = 0
Step 2: Combine like terms.
3x + 2x = 5x
The equation becomes: 5x - 15 = 0
Step 3: Add 15 to both sides to isolate the term with x.
5x - 15 + 15 = 0 + 15
5x = 15
Step 4: Divide both sides by 5 to solve for x.
5x/5 = 15/5
x = 3
Therefore, the blanks are filled in as follows:
3x + 2x = 0
5x = 15
x = 3