6(4m-1)=2(2m+3)

Solution for 6(4m-1)=2(2m+3) equation:

Simplifying
6(4m + -1) = 2(2m + 3)

Reorder the terms:
6(-1 + 4m) = 2(2m + 3)
(-1 * 6 + 4m * 6) = 2(2m + 3)
(-6 + 24m) = 2(2m + 3)

Reorder the terms:
-6 + 24m = 2(3 + 2m)
-6 + 24m = (3 * 2 + 2m * 2)
-6 + 24m = (6 + 4m)

Solving
-6 + 24m = 6 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-6 + 24m + -4m = 6 + 4m + -4m

Combine like terms: 24m + -4m = 20m
-6 + 20m = 6 + 4m + -4m

Combine like terms: 4m + -4m = 0
-6 + 20m = 6 + 0
-6 + 20m = 6

Add '6' to each side of the equation.
-6 + 6 + 20m = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 20m = 6 + 6
20m = 6 + 6

Combine like terms: 6 + 6 = 12
20m = 12

Divide each side by '20'.
m = 0.6

Simplifying
m = 0.6