2(m+2.3)=5(m-0.5)

Solution for 2(m+2.3)=5(m-0.5) equation:

Simplifying
2(m + 2.3) = 5(m + -0.5)

Reorder the terms:
2(2.3 + m) = 5(m + -0.5)
(2.3 * 2 + m * 2) = 5(m + -0.5)
(4.6 + 2m) = 5(m + -0.5)

Reorder the terms:
4.6 + 2m = 5(-0.5 + m)
4.6 + 2m = (-0.5 * 5 + m * 5)
4.6 + 2m = (-2.5 + 5m)

Solving
4.6 + 2m = -2.5 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
4.6 + 2m + -5m = -2.5 + 5m + -5m

Combine like terms: 2m + -5m = -3m
4.6 + -3m = -2.5 + 5m + -5m

Combine like terms: 5m + -5m = 0
4.6 + -3m = -2.5 + 0
4.6 + -3m = -2.5

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -3m = -2.5 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -3m = -2.5 + -4.6
-3m = -2.5 + -4.6

Combine like terms: -2.5 + -4.6 = -7.1
-3m = -7.1

Divide each side by '-3'.
m = 2.366666667

Simplifying
m = 2.366666667