5m-3(m+2)=10

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

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

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

Reorder the terms:
-6 + 5m + -3m = 10

Combine like terms: 5m + -3m = 2m
-6 + 2m = 10

Solving
-6 + 2m = 10

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + 2m = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 2m = 10 + 6
2m = 10 + 6

Combine like terms: 10 + 6 = 16
2m = 16

Divide each side by '2'.
m = 8

Simplifying
m = 8