2[6-3(5m+1)]-5m=

Solution for 2[6-3(5m+1)]-5m= equation:

Simplifying
2[6 + -3(5m + 1)] + -5m = 0

Reorder the terms:
2[6 + -3(1 + 5m)] + -5m = 0
2[6 + (1 * -3 + 5m * -3)] + -5m = 0
2[6 + (-3 + -15m)] + -5m = 0

Combine like terms: 6 + -3 = 3
2[3 + -15m] + -5m = 0
[3 * 2 + -15m * 2] + -5m = 0
[6 + -30m] + -5m = 0

Combine like terms: -30m + -5m = -35m
6 + -35m = 0

Solving
6 + -35m = 0

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + -35m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -35m = 0 + -6
-35m = 0 + -6

Combine like terms: 0 + -6 = -6
-35m = -6

Divide each side by '-35'.
m = 0.1714285714

Simplifying
m = 0.1714285714