Question

Which of the following is(are) the solution(s) to 7(x+2)= -49

Answer 1

x = -9

Explanation:

7(x+2) = -49

Expand the brackets :

7x+14 = -49

Subtract 14 from both sides :

7x = -63

Divide both sides by 7 :

x = -63÷7 = -9

This is the only solution.

Hope this helped and have a good day

Answer 2

The first step that we need to take before attempting to solve the problem is to understand what the problem statement is asking us to do. Looking at this problem we can see that they are asking us to determine the solutions to the equation that is provided in the problem statement.

Now that we understand that the question is asking for we can move onto actually solving the expression and determining the solution(s). The first step that we need to take is to distribute 7 to the contents inside of the parenthesis.

Distribute 7

• 
  `7(x+2)= -49`

• 
  `(7 * x)+(7*2)= -49`

• 
  `7x + 14 = -49`

We have distributed 7 and now we need to continue isolating the unknown variable in this case x. Subtracting 14 from both sides would remove it from the left side and help isolate x.

Subtract 14 from both sides

• 
  `7x + 14 - 14 = -49 - 14`

• 
  `7x = -49 - 14`

• 
  `7x = -63`

Finally, we are almost there and the last step is to divide both sides by 7 which would isolate the variable x and given us the solution to the expression that was provided in the problem statement.

Divide both sides by 7

• 
  `(7x)/(7) = (-63)/(7)`

• 
  `x = (-63)/(7)`

• 
  `x = -9`

Therefore, after completely solving the expression for the unknown variable x we were able to determine that there is only one solution to the expression and it is x = -9.