2(5m+3)=10m+6m

Solution for 2(5m+3)=10m+6m equation:

Simplifying
2(5m + 3) = 10m + 6m

Reorder the terms:
2(3 + 5m) = 10m + 6m
(3 * 2 + 5m * 2) = 10m + 6m
(6 + 10m) = 10m + 6m

Combine like terms: 10m + 6m = 16m
6 + 10m = 16m

Solving
6 + 10m = 16m

Solving for variable 'm'.

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

Add '-16m' to each side of the equation.
6 + 10m + -16m = 16m + -16m

Combine like terms: 10m + -16m = -6m
6 + -6m = 16m + -16m

Combine like terms: 16m + -16m = 0
6 + -6m = 0

Add '-6' to each side of the equation.
6 + -6 + -6m = 0 + -6

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

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

Divide each side by '-6'.
m = 1

Simplifying
m = 1