Solve for x:

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 for x, we will start by simplifying both sides of the equation:

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

First, we simplify the expressions within parentheses:

x(10) + 3 = 2(5 + x) + 5(x + 1) - 6
10x + 3 = 2(5 + x) + 5x + 5 - 6

Then, we simplify the expressions inside the brackets:

10x + 3 = 2*5 + 2*x + 5x + 5 - 6
10x + 3 = 10 + 2x + 5x + 5 - 6

Next, we combine like terms:

10x + 3 = 15 + 7x - 1

Now, we move all the terms containing x to one side and the constants to the other side:

10x - 7x = 15 - 1 - 3
3x = 11

Finally, we solve for x by dividing both sides of the equation by 3:

x = 11/3

Therefore, the solution for x is x = 11/3, which is not one of the options provided.