7m-3(m-2)=2(3m-5)

Solution for 7m-3(m-2)=2(3m-5) equation:

Simplifying
7m + -3(m + -2) = 2(3m + -5)

Reorder the terms:
7m + -3(-2 + m) = 2(3m + -5)
7m + (-2 * -3 + m * -3) = 2(3m + -5)
7m + (6 + -3m) = 2(3m + -5)

Reorder the terms:
6 + 7m + -3m = 2(3m + -5)

Combine like terms: 7m + -3m = 4m
6 + 4m = 2(3m + -5)

Reorder the terms:
6 + 4m = 2(-5 + 3m)
6 + 4m = (-5 * 2 + 3m * 2)
6 + 4m = (-10 + 6m)

Solving
6 + 4m = -10 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
6 + 4m + -6m = -10 + 6m + -6m

Combine like terms: 4m + -6m = -2m
6 + -2m = -10 + 6m + -6m

Combine like terms: 6m + -6m = 0
6 + -2m = -10 + 0
6 + -2m = -10

Add '-6' to each side of the equation.
6 + -6 + -2m = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = -10 + -6
-2m = -10 + -6

Combine like terms: -10 + -6 = -16
-2m = -16

Divide each side by '-2'.
m = 8

Simplifying
m = 8