-5(8m-10)=6-4(9m-9)

Solution for -5(8m-10)=6-4(9m-9) equation:

Simplifying
-5(8m + -10) = 6 + -4(9m + -9)

Reorder the terms:
-5(-10 + 8m) = 6 + -4(9m + -9)
(-10 * -5 + 8m * -5) = 6 + -4(9m + -9)
(50 + -40m) = 6 + -4(9m + -9)

Reorder the terms:
50 + -40m = 6 + -4(-9 + 9m)
50 + -40m = 6 + (-9 * -4 + 9m * -4)
50 + -40m = 6 + (36 + -36m)

Combine like terms: 6 + 36 = 42
50 + -40m = 42 + -36m

Solving
50 + -40m = 42 + -36m

Solving for variable 'm'.

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

Add '36m' to each side of the equation.
50 + -40m + 36m = 42 + -36m + 36m

Combine like terms: -40m + 36m = -4m
50 + -4m = 42 + -36m + 36m

Combine like terms: -36m + 36m = 0
50 + -4m = 42 + 0
50 + -4m = 42

Add '-50' to each side of the equation.
50 + -50 + -4m = 42 + -50

Combine like terms: 50 + -50 = 0
0 + -4m = 42 + -50
-4m = 42 + -50

Combine like terms: 42 + -50 = -8
-4m = -8

Divide each side by '-4'.
m = 2

Simplifying
m = 2