6(7-2m)=3(5m+1)

Solution for 6(7-2m)=3(5m+1) equation:

Simplifying
6(7 + -2m) = 3(5m + 1)
(7 * 6 + -2m * 6) = 3(5m + 1)
(42 + -12m) = 3(5m + 1)

Reorder the terms:
42 + -12m = 3(1 + 5m)
42 + -12m = (1 * 3 + 5m * 3)
42 + -12m = (3 + 15m)

Solving
42 + -12m = 3 + 15m

Solving for variable 'm'.

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

Add '-15m' to each side of the equation.
42 + -12m + -15m = 3 + 15m + -15m

Combine like terms: -12m + -15m = -27m
42 + -27m = 3 + 15m + -15m

Combine like terms: 15m + -15m = 0
42 + -27m = 3 + 0
42 + -27m = 3

Add '-42' to each side of the equation.
42 + -42 + -27m = 3 + -42

Combine like terms: 42 + -42 = 0
0 + -27m = 3 + -42
-27m = 3 + -42

Combine like terms: 3 + -42 = -39
-27m = -39

Divide each side by '-27'.
m = 1.444444444

Simplifying
m = 1.444444444