2(3+5m)=4(1+3m)

Solution for 2(3+5m)=4(1+3m) equation:

Simplifying
2(3 + 5m) = 4(1 + 3m)
(3 * 2 + 5m * 2) = 4(1 + 3m)
(6 + 10m) = 4(1 + 3m)
6 + 10m = (1 * 4 + 3m * 4)
6 + 10m = (4 + 12m)

Solving
6 + 10m = 4 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
6 + 10m + -12m = 4 + 12m + -12m

Combine like terms: 10m + -12m = -2m
6 + -2m = 4 + 12m + -12m

Combine like terms: 12m + -12m = 0
6 + -2m = 4 + 0
6 + -2m = 4

Add '-6' to each side of the equation.
6 + -6 + -2m = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = 4 + -6
-2m = 4 + -6

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

Divide each side by '-2'.
m = 1

Simplifying
m = 1