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
x = 14
To solve the equation 4(x - 7) - 2x = 0, we can simplify the expression step by step.
Step 1: Distribute the 4 to the terms inside the parentheses:
4 * x = 4x
4 * -7 = -28
The equation becomes: 4x - 28 - 2x = 0
Step 2: Combine like terms:
4x - 2x = 2x
The equation becomes: 2x - 28 = 0
Step 3: Add 28 to both sides of the equation:
2x - 28 + 28 = 0 + 28
-28 + 28 cancels out, and we are left with:
2x = 28
Step 4: Divide both sides of the equation by 2 to solve for x:
(2x) / 2 = 28 / 2
The 2's on the left side cancel out, and we have:
x = 14
Therefore, the values to fill in the blanks are:
4x + (-2x) = 0
2x = 28
x = 14