3(6m-2)=5m+2(7m+5)

Solution for 3(6m-2)=5m+2(7m+5) equation:

Simplifying
3(6m + -2) = 5m + 2(7m + 5)

Reorder the terms:
3(-2 + 6m) = 5m + 2(7m + 5)
(-2 * 3 + 6m * 3) = 5m + 2(7m + 5)
(-6 + 18m) = 5m + 2(7m + 5)

Reorder the terms:
-6 + 18m = 5m + 2(5 + 7m)
-6 + 18m = 5m + (5 * 2 + 7m * 2)
-6 + 18m = 5m + (10 + 14m)

Reorder the terms:
-6 + 18m = 10 + 5m + 14m

Combine like terms: 5m + 14m = 19m
-6 + 18m = 10 + 19m

Solving
-6 + 18m = 10 + 19m

Solving for variable 'm'.

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

Add '-19m' to each side of the equation.
-6 + 18m + -19m = 10 + 19m + -19m

Combine like terms: 18m + -19m = -1m
-6 + -1m = 10 + 19m + -19m

Combine like terms: 19m + -19m = 0
-6 + -1m = 10 + 0
-6 + -1m = 10

Add '6' to each side of the equation.
-6 + 6 + -1m = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 10 + 6
-1m = 10 + 6

Combine like terms: 10 + 6 = 16
-1m = 16

Divide each side by '-1'.
m = -16

Simplifying
m = -16