Solve the following equation: 2x−31=3(x+2)%0D%0A2%0D%0A%0D%0A−%0D%0A31%0D%0A=%0D%0A3%0D%0A(%0D%0A%0D%0A+%0D%0A2%0D%0A)%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A37%0D%0A37%0D%0A37%0D%0A%0D%0A−37%0D%0A−%0D%0A37%0D%0Anegative 37%0D%0A%0D%0A5%0D%0A5%0D%0A5%0D%0A%0D%0A375

1 answer

To solve the given equation, we first simplify both sides of the equation:

2x - 31 = 3(x + 2)

Next, distribute the 3 on the right side:

2x - 31 = 3x + 6

Now, let's solve for x by isolating x on one side of the equation. We can do this by subtracting 2x from both sides:

-31 = x + 6

Now, subtract 6 from both sides:

-37 = x

Therefore, the solution to the equation is x = -37.