Solve the following equation: 4(x + 2) – 17 = 35

Question

(1 point)
Responses

–11

twenty-five over two
Image with alt text: twenty-five over two

15

11

Answer 1

To solve the equation 4(x + 2) - 17 = 35, we can start by simplifying the left side of the equation.

First, distribute the 4 to both terms inside the parentheses:
4 * x + 4 * 2 - 17 = 35
4x + 8 - 17 = 35

Next, combine the like terms on the left side:
4x - 9 = 35

To isolate the variable x, we can add 9 to both sides:
4x - 9 + 9 = 35 + 9
4x = 44

Finally, divide both sides by 4 to solve for x:
4x/4 = 44/4
x = 11

So the solution to the equation is x = 11.