Question

8*(3m-2)-13=5*(12+3m)+28

Answer 1

8*(3m-2)-13=5*(12+3m)+28

24m-16-13=60+15m+28

24m-15m=60+28+16+13

9m=117

m=13

 

Answer 2

To solve the equation 8*(3m-2)-13=5*(12+3m)+28, we need to simplify the expression on both sides of the equation and then isolate the variable "m".

Let's start by simplifying the expression on the left side of the equation:

8*(3m-2) - 13

Using the distributive property, we can multiply 8 with each term inside the parentheses:

24m - 16 - 13

Combining like terms, we get:

24m - 29

Now, let's simplify the expression on the right side of the equation:

5*(12+3m) + 28

Again, using the distributive property, we can multiply 5 with each term inside the parentheses:

60 + 15m + 28

Combining like terms, we get:

15m + 88

Now, our equation becomes:

24m - 29 = 15m + 88

To isolate the variable "m", we need to get all the terms with "m" on one side of the equation and the constant terms on the other side. We can do this by subtracting 15m from both sides of the equation:

24m - 15m - 29 = 15m - 15m + 88

Simplifying further, we get:

9m - 29 = 88

Next, we can isolate the constant term on the right side of the equation by adding 29 to both sides:

9m - 29 + 29 = 88 + 29

Simplifying further, we get:

9m = 117

Finally, to solve for "m", we divide both sides of the equation by 9:

9m/9 = 117/9

Simplifying further, we get:

m = 13

Therefore, the solution to the equation 8*(3m-2)-13=5*(12+3m)+28 is m = 13.