3m-2(5m-3)=1

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

Simplifying
3m + -2(5m + -3) = 1

Reorder the terms:
3m + -2(-3 + 5m) = 1
3m + (-3 * -2 + 5m * -2) = 1
3m + (6 + -10m) = 1

Reorder the terms:
6 + 3m + -10m = 1

Combine like terms: 3m + -10m = -7m
6 + -7m = 1

Solving
6 + -7m = 1

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 + -7m = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -7m = 1 + -6
-7m = 1 + -6

Combine like terms: 1 + -6 = -5
-7m = -5

Divide each side by '-7'.
m = 0.7142857143

Simplifying
m = 0.7142857143