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

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

Simplifying
4(5 + -1m) = 2(m + 3)
(5 * 4 + -1m * 4) = 2(m + 3)
(20 + -4m) = 2(m + 3)

Reorder the terms:
20 + -4m = 2(3 + m)
20 + -4m = (3 * 2 + m * 2)
20 + -4m = (6 + 2m)

Solving
20 + -4m = 6 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
20 + -4m + -2m = 6 + 2m + -2m

Combine like terms: -4m + -2m = -6m
20 + -6m = 6 + 2m + -2m

Combine like terms: 2m + -2m = 0
20 + -6m = 6 + 0
20 + -6m = 6

Add '-20' to each side of the equation.
20 + -20 + -6m = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -6m = 6 + -20
-6m = 6 + -20

Combine like terms: 6 + -20 = -14
-6m = -14

Divide each side by '-6'.
m = 2.333333333

Simplifying
m = 2.333333333