3(5m+2)=2(m-3)+k

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

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

Reorder the terms:
3(2 + 5m) = 2(m + -3) + k
(2 * 3 + 5m * 3) = 2(m + -3) + k
(6 + 15m) = 2(m + -3) + k

Reorder the terms:
6 + 15m = 2(-3 + m) + k
6 + 15m = (-3 * 2 + m * 2) + k
6 + 15m = (-6 + 2m) + k

Reorder the terms:
6 + 15m = -6 + k + 2m

Solving
6 + 15m = -6 + k + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
6 + 15m + -2m = -6 + k + 2m + -2m

Combine like terms: 15m + -2m = 13m
6 + 13m = -6 + k + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + 13m = -6 + k + 0
6 + 13m = -6 + k

Add '-6' to each side of the equation.
6 + -6 + 13m = -6 + -6 + k

Combine like terms: 6 + -6 = 0
0 + 13m = -6 + -6 + k
13m = -6 + -6 + k

Combine like terms: -6 + -6 = -12
13m = -12 + k

Divide each side by '13'.
m = -0.9230769231 + 0.07692307692k

Simplifying
m = -0.9230769231 + 0.07692307692k