4(-m+18)=5(m-20)+19

Solution for 4(-m+18)=5(m-20)+19 equation:

Simplifying
4(-1m + 18) = 5(m + -20) + 19

Reorder the terms:
4(18 + -1m) = 5(m + -20) + 19
(18 * 4 + -1m * 4) = 5(m + -20) + 19
(72 + -4m) = 5(m + -20) + 19

Reorder the terms:
72 + -4m = 5(-20 + m) + 19
72 + -4m = (-20 * 5 + m * 5) + 19
72 + -4m = (-100 + 5m) + 19

Reorder the terms:
72 + -4m = -100 + 19 + 5m

Combine like terms: -100 + 19 = -81
72 + -4m = -81 + 5m

Solving
72 + -4m = -81 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
72 + -4m + -5m = -81 + 5m + -5m

Combine like terms: -4m + -5m = -9m
72 + -9m = -81 + 5m + -5m

Combine like terms: 5m + -5m = 0
72 + -9m = -81 + 0
72 + -9m = -81

Add '-72' to each side of the equation.
72 + -72 + -9m = -81 + -72

Combine like terms: 72 + -72 = 0
0 + -9m = -81 + -72
-9m = -81 + -72

Combine like terms: -81 + -72 = -153
-9m = -153

Divide each side by '-9'.
m = 17

Simplifying
m = 17