9(2m-3)-4(5+3m)=5

Solution for 9(2m-3)-4(5+3m)=5 equation:

Simplifying
9(2m + -3) + -4(5 + 3m) = 5

Reorder the terms:
9(-3 + 2m) + -4(5 + 3m) = 5
(-3 * 9 + 2m * 9) + -4(5 + 3m) = 5
(-27 + 18m) + -4(5 + 3m) = 5
-27 + 18m + (5 * -4 + 3m * -4) = 5
-27 + 18m + (-20 + -12m) = 5

Reorder the terms:
-27 + -20 + 18m + -12m = 5

Combine like terms: -27 + -20 = -47
-47 + 18m + -12m = 5

Combine like terms: 18m + -12m = 6m
-47 + 6m = 5

Solving
-47 + 6m = 5

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '47' to each side of the equation.
-47 + 47 + 6m = 5 + 47

Combine like terms: -47 + 47 = 0
0 + 6m = 5 + 47
6m = 5 + 47

Combine like terms: 5 + 47 = 52
6m = 52

Divide each side by '6'.
m = 8.666666667

Simplifying
m = 8.666666667