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

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

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

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

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

Reorder the terms:
-27 + -20 + 18m + -4m = -5

Combine like terms: -27 + -20 = -47
-47 + 18m + -4m = -5

Combine like terms: 18m + -4m = 14m
-47 + 14m = -5

Solving
-47 + 14m = -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 + 14m = -5 + 47

Combine like terms: -47 + 47 = 0
0 + 14m = -5 + 47
14m = -5 + 47

Combine like terms: -5 + 47 = 42
14m = 42

Divide each side by '14'.
m = 3

Simplifying
m = 3