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

Solution for 5m-3(m+2)=-1(2m-15) equation:

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

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

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

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

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

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

Combine like terms: 2m + 2m = 4m
-6 + 4m = 15 + -2m + 2m

Combine like terms: -2m + 2m = 0
-6 + 4m = 15 + 0
-6 + 4m = 15

Add '6' to each side of the equation.
-6 + 6 + 4m = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 4m = 15 + 6
4m = 15 + 6

Combine like terms: 15 + 6 = 21
4m = 21

Divide each side by '4'.
m = 5.25

Simplifying
m = 5.25