-2m+3(1-12m)=5(1-8m)

Solution for -2m+3(1-12m)=5(1-8m) equation:

Simplifying
-2m + 3(1 + -12m) = 5(1 + -8m)
-2m + (1 * 3 + -12m * 3) = 5(1 + -8m)
-2m + (3 + -36m) = 5(1 + -8m)

Reorder the terms:
3 + -2m + -36m = 5(1 + -8m)

Combine like terms: -2m + -36m = -38m
3 + -38m = 5(1 + -8m)
3 + -38m = (1 * 5 + -8m * 5)
3 + -38m = (5 + -40m)

Solving
3 + -38m = 5 + -40m

Solving for variable 'm'.

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

Add '40m' to each side of the equation.
3 + -38m + 40m = 5 + -40m + 40m

Combine like terms: -38m + 40m = 2m
3 + 2m = 5 + -40m + 40m

Combine like terms: -40m + 40m = 0
3 + 2m = 5 + 0
3 + 2m = 5

Add '-3' to each side of the equation.
3 + -3 + 2m = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 2m = 5 + -3
2m = 5 + -3

Combine like terms: 5 + -3 = 2
2m = 2

Divide each side by '2'.
m = 1

Simplifying
m = 1