How do you solve this equation in numbers five times the diffrence of twice a number and three decreased by the sum of the number and eight equals 13

5(2n - 3) - (n + 8) = 13

10n - n - 23 = 13
9n = 36
n = ?

Assuming I interpreted your equation correctly:

5(2n+3) - (n+8) = 13

Combine terms.

10n + 15 - n - 8 = 13

9n = 6

Take it from there.

To solve the equation, let's break it down step by step:

1. Read the problem carefully and determine the unknown variable. In this case, the unknown variable is the number we are trying to find.

2. Translate the words into mathematical expressions. The equation can be written as:
5(2x - 3 - (x + 8)) = 13

3. Simplify the expression inside the brackets. Distribute the negative sign:
5(2x - 3 - x - 8) = 13

Simplify within the brackets:
5(x - 11) = 13

4. Continue to simplify the equation. Distribute the 5 on the left side:
5x - 55 = 13

5. Isolate the variable by moving constants to one side and the variable terms to the other side of the equation. Let's add 55 to both sides to eliminate the -55 term on the left side:
5x - 55 + 55 = 13 + 55

Simplify:
5x = 68

6. Finally, solve for x by dividing both sides of the equation by 5:
5x/5 = 68/5

Simplify:
x = 13.6

So the solution to the equation is x = 13.6.