5(85.5m-2.25)=9(23.59+56.7m)

Solution for 5(85.5m-2.25)=9(23.59+56.7m) equation:

Simplifying
5(85.5m + -2.25) = 9(23.59 + 56.7m)

Reorder the terms:
5(-2.25 + 85.5m) = 9(23.59 + 56.7m)
(-2.25 * 5 + 85.5m * 5) = 9(23.59 + 56.7m)
(-11.25 + 427.5m) = 9(23.59 + 56.7m)
-11.25 + 427.5m = (23.59 * 9 + 56.7m * 9)
-11.25 + 427.5m = (212.31 + 510.3m)

Solving
-11.25 + 427.5m = 212.31 + 510.3m

Solving for variable 'm'.

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

Add '-510.3m' to each side of the equation.
-11.25 + 427.5m + -510.3m = 212.31 + 510.3m + -510.3m

Combine like terms: 427.5m + -510.3m = -82.8m
-11.25 + -82.8m = 212.31 + 510.3m + -510.3m

Combine like terms: 510.3m + -510.3m = 0.0
-11.25 + -82.8m = 212.31 + 0.0
-11.25 + -82.8m = 212.31

Add '11.25' to each side of the equation.
-11.25 + 11.25 + -82.8m = 212.31 + 11.25

Combine like terms: -11.25 + 11.25 = 0.00
0.00 + -82.8m = 212.31 + 11.25
-82.8m = 212.31 + 11.25

Combine like terms: 212.31 + 11.25 = 223.56
-82.8m = 223.56

Divide each side by '-82.8'.
m = -2.7

Simplifying
m = -2.7