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

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

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

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

Reorder the terms:
-6 + 4m = 6(2 + 6m)
-6 + 4m = (2 * 6 + 6m * 6)
-6 + 4m = (12 + 36m)

Solving
-6 + 4m = 12 + 36m

Solving for variable 'm'.

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

Add '-36m' to each side of the equation.
-6 + 4m + -36m = 12 + 36m + -36m

Combine like terms: 4m + -36m = -32m
-6 + -32m = 12 + 36m + -36m

Combine like terms: 36m + -36m = 0
-6 + -32m = 12 + 0
-6 + -32m = 12

Add '6' to each side of the equation.
-6 + 6 + -32m = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -32m = 12 + 6
-32m = 12 + 6

Combine like terms: 12 + 6 = 18
-32m = 18

Divide each side by '-32'.
m = -0.5625

Simplifying
m = -0.5625