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

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

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

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

Reorder the terms:
6 + 10m = 3(-3 + -5m)
6 + 10m = (-3 * 3 + -5m * 3)
6 + 10m = (-9 + -15m)

Solving
6 + 10m = -9 + -15m

Solving for variable 'm'.

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

Add '15m' to each side of the equation.
6 + 10m + 15m = -9 + -15m + 15m

Combine like terms: 10m + 15m = 25m
6 + 25m = -9 + -15m + 15m

Combine like terms: -15m + 15m = 0
6 + 25m = -9 + 0
6 + 25m = -9

Add '-6' to each side of the equation.
6 + -6 + 25m = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 25m = -9 + -6
25m = -9 + -6

Combine like terms: -9 + -6 = -15
25m = -15

Divide each side by '25'.
m = -0.6

Simplifying
m = -0.6