3+m=0.5(10+m)

Solution for 3+m=0.5(10+m) equation:

Simplifying
3 + m = 0.5(10 + m)
3 + m = (10 * 0.5 + m * 0.5)
3 + m = (5 + 0.5m)

Solving
3 + m = 5 + 0.5m

Solving for variable 'm'.

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

Add '-0.5m' to each side of the equation.
3 + m + -0.5m = 5 + 0.5m + -0.5m

Combine like terms: m + -0.5m = 0.5m
3 + 0.5m = 5 + 0.5m + -0.5m

Combine like terms: 0.5m + -0.5m = 0.0
3 + 0.5m = 5 + 0.0
3 + 0.5m = 5

Add '-3' to each side of the equation.
3 + -3 + 0.5m = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 0.5m = 5 + -3
0.5m = 5 + -3

Combine like terms: 5 + -3 = 2
0.5m = 2

Divide each side by '0.5'.
m = 4

Simplifying
m = 4