-5(10-m)-2(m+1)=

Solution for -5(10-m)-2(m+1)= equation:

Simplifying
-5(10 + -1m) + -2(m + 1) = 0
(10 * -5 + -1m * -5) + -2(m + 1) = 0
(-50 + 5m) + -2(m + 1) = 0

Reorder the terms:
-50 + 5m + -2(1 + m) = 0
-50 + 5m + (1 * -2 + m * -2) = 0
-50 + 5m + (-2 + -2m) = 0

Reorder the terms:
-50 + -2 + 5m + -2m = 0

Combine like terms: -50 + -2 = -52
-52 + 5m + -2m = 0

Combine like terms: 5m + -2m = 3m
-52 + 3m = 0

Solving
-52 + 3m = 0

Solving for variable 'm'.

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

Add '52' to each side of the equation.
-52 + 52 + 3m = 0 + 52

Combine like terms: -52 + 52 = 0
0 + 3m = 0 + 52
3m = 0 + 52

Combine like terms: 0 + 52 = 52
3m = 52

Divide each side by '3'.
m = 17.33333333

Simplifying
m = 17.33333333