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

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

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

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

Reorder the terms:
6 + 4m = 2(-4 + 3m)
6 + 4m = (-4 * 2 + 3m * 2)
6 + 4m = (-8 + 6m)

Solving
6 + 4m = -8 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
6 + 4m + -6m = -8 + 6m + -6m

Combine like terms: 4m + -6m = -2m
6 + -2m = -8 + 6m + -6m

Combine like terms: 6m + -6m = 0
6 + -2m = -8 + 0
6 + -2m = -8

Add '-6' to each side of the equation.
6 + -6 + -2m = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = -8 + -6
-2m = -8 + -6

Combine like terms: -8 + -6 = -14
-2m = -14

Divide each side by '-2'.
m = 7

Simplifying
m = 7