5m-2(m+3)=-(2m+15)

Solution for 5m-2(m+3)=-(2m+15) equation:

Simplifying
5m + -2(m + 3) = -1(2m + 15)

Reorder the terms:
5m + -2(3 + m) = -1(2m + 15)
5m + (3 * -2 + m * -2) = -1(2m + 15)
5m + (-6 + -2m) = -1(2m + 15)

Reorder the terms:
-6 + 5m + -2m = -1(2m + 15)

Combine like terms: 5m + -2m = 3m
-6 + 3m = -1(2m + 15)

Reorder the terms:
-6 + 3m = -1(15 + 2m)
-6 + 3m = (15 * -1 + 2m * -1)
-6 + 3m = (-15 + -2m)

Solving
-6 + 3m = -15 + -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.
-6 + 3m + 2m = -15 + -2m + 2m

Combine like terms: 3m + 2m = 5m
-6 + 5m = -15 + -2m + 2m

Combine like terms: -2m + 2m = 0
-6 + 5m = -15 + 0
-6 + 5m = -15

Add '6' to each side of the equation.
-6 + 6 + 5m = -15 + 6

Combine like terms: -6 + 6 = 0
0 + 5m = -15 + 6
5m = -15 + 6

Combine like terms: -15 + 6 = -9
5m = -9

Divide each side by '5'.
m = -1.8

Simplifying
m = -1.8