Can someone check my answers?

Solve for m: m + 6 = 3(2m - 4)
a.4
b.-6/5
c.18/5
d.2

answer: c. 18/5

Solve the equation and check your solution: 3(x + 6) = 18 + 3x
a. -6
b. 0
c. all real numbers
d. no solution
answer: b. 0

Solve the equation and check your solution: -2(x - 1) = 2 - 2x
a. 1
b. 0
c. all real numbers
d. no solution
answer: b. 0

Solve the equation and check your solution: x + 4 = -2 + x
a. no solution
b. all real numbers
c. -6
d. 0
answer: c. -6

In the future, please number each problem.

1. 18/5
2. all values of x ( all real numbers)
3. all values of x ( all real numbers)
4. no solution

To check the answers for the given equations, you can substitute the value of m or x into the equation and see if both sides are equal. Let's go through each equation:

1. Equation: m + 6 = 3(2m - 4)
To solve for m, we need to distribute the 3 to each term inside the parentheses:
m + 6 = 6m - 12
Simplifying the equation:
5m = 18
Dividing both sides by 5:
m = 18/5
Checking:
Substituting m = 18/5 into the original equation:
18/5 + 6 = 3(2(18/5) - 4)
18/5 + 6 = 3(36/5 - 4)
18/5 + 6 = 3(36/5 - 20/5)
18/5 + 6 = 3(16/5)
18/5 + 6 = 48/5
The equation is true, so the answer is c. 18/5.

2. Equation: 3(x + 6) = 18 + 3x
To solve for x, let's simplify the equation first:
3x + 18 = 18 + 3x
We can see that the variables cancel out on both sides of the equation:
18 = 18
Since 18 is always equal to 18, the equation is true for any value of x. Thus, the answer is c. All real numbers.

3. Equation: -2(x - 1) = 2 - 2x
Expanding the equation:
-2x + 2 = 2 - 2x
Rearranging the terms:
-2x + 2x = 2 - 2
Canceling out the variables:
2 = 2
Again, we have a true statement. Therefore, the answer is c. All real numbers.

4. Equation: x + 4 = -2 + x
Simplifying the equation by rearranging the terms:
x - x = -2 - 4
0 = -6
This is a contradiction. No matter what value of x we choose, the equation will always be false. Therefore, there is no solution, and the answer is a. No solution.

I hope this explanation helps you understand how to solve and check each equation!