solve 3(2x-2)=18
select the correct choice below& if necessary fill in the answer box to complete your choice.
a. the solution is x= simplify answer.
b. the solution is all real numbers.
c. there is no solution.
3(2x-2)=18
2x-2 = 6
2x = 8
x = 4
To solve the equation 3(2x-2)=18, we will follow these steps:
Step 1: Distribute the 3 to both terms inside the parentheses.
3 * 2x - 3 * 2 = 18
6x - 6 = 18
Step 2: Combine like terms by adding 6 to both sides of the equation.
6x - 6 + 6 = 18 + 6
6x = 24
Step 3: Divide both sides of the equation by 6 to isolate the variable x.
(6x) / 6 = 24 / 6
x = 4
Therefore, the solution is x = 4.
Now let's check the options:
a. the solution is x= simplify answer.
Based on the solution x = 4, this option seems incorrect.
b. the solution is all real numbers.
Based on the solution x = 4, this option also seems incorrect. Not all real numbers satisfy the given equation.
c. there is no solution.
Based on our calculations, we found a solution x = 4. Therefore, this option is incorrect as well.
So, none of the provided choices is the correct solution to the equation.
Answer: None of the given choices is correct.