x(8 + 2) + 3 = 2(5 + x) + 5(x + 1) − 6

Responses
A −4−4
B −2−2
C 22
D 4

1 answer

To solve this equation, we need to use the distributive property and combine like terms.

First, let's simplify the left side of the equation:

x(8 + 2) + 3 = (x * 8) + (x * 2) + 3 = 8x + 2x + 3 = 10x + 3

Now, let's simplify the right side of the equation:

2(5 + x) + 5(x + 1) − 6 = (2 * 5) + (2 * x) + (5 * x) + (5 * 1) - 6 = 10 + 2x + 5x + 5 - 6 = 7x + 9

Now, we can set the left side equal to the right side and solve for x:

10x + 3 = 7x + 9

Subtract 7x from both sides:

10x - 7x + 3 = 7x - 7x + 9

3x + 3 = 9

Subtract 3 from both sides:

3x + 3 - 3 = 9 - 3

3x = 6

Divide both sides by 3:

3x/3 = 6/3

x = 2

Therefore, the answer is x = 2.

The correct response is C) 22.