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

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

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

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

Combine like terms: 15 + -15 = 0
0 + -3m + -3m = 3(m + 1)
-3m + -3m = 3(m + 1)

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

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

Solving
-6m = 3 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-6m + -3m = 3 + 3m + -3m

Combine like terms: -6m + -3m = -9m
-9m = 3 + 3m + -3m

Combine like terms: 3m + -3m = 0
-9m = 3 + 0
-9m = 3

Divide each side by '-9'.
m = -0.3333333333

Simplifying
m = -0.3333333333