Question 10 (3 points)
Jill solves the equation: 4(x - 7) - 2x = 0
Fill in the blanks with the correct values.
4x + - 2x = 0
2x =
x =
4x - 28 - 2x = 0
2x - 28 = 0
2x = 28
x = 14
To solve the equation 4(x - 7) - 2x = 0, follow these steps:
Step 1: Distribute 4 to the terms inside the parentheses.
4x - 28 - 2x = 0
Step 2: Combine like terms.
2x - 28 = 0
Step 3: To isolate variable term, add 28 to both sides of the equation.
2x = 28
Step 4: Divide both sides of the equation by 2 to solve for x.
x = 14
So, the correct values to fill in the blanks are:
4x + (-2x) = 0
2x = 28
x = 14