14-1(5m+8)=5+3m-15

Solution for 14-1(5m+8)=5+3m-15 equation:

Simplifying
14 + -1(5m + 8) = 5 + 3m + -15

Reorder the terms:
14 + -1(8 + 5m) = 5 + 3m + -15
14 + (8 * -1 + 5m * -1) = 5 + 3m + -15
14 + (-8 + -5m) = 5 + 3m + -15

Combine like terms: 14 + -8 = 6
6 + -5m = 5 + 3m + -15

Reorder the terms:
6 + -5m = 5 + -15 + 3m

Combine like terms: 5 + -15 = -10
6 + -5m = -10 + 3m

Solving
6 + -5m = -10 + 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.
6 + -5m + -3m = -10 + 3m + -3m

Combine like terms: -5m + -3m = -8m
6 + -8m = -10 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + -8m = -10 + 0
6 + -8m = -10

Add '-6' to each side of the equation.
6 + -6 + -8m = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8m = -10 + -6
-8m = -10 + -6

Combine like terms: -10 + -6 = -16
-8m = -16

Divide each side by '-8'.
m = 2

Simplifying
m = 2