8m+31=9(m+5)-3(m-2)

Solution for 8m+31=9(m+5)-3(m-2) equation:

Simplifying
8m + 31 = 9(m + 5) + -3(m + -2)

Reorder the terms:
31 + 8m = 9(m + 5) + -3(m + -2)

Reorder the terms:
31 + 8m = 9(5 + m) + -3(m + -2)
31 + 8m = (5 * 9 + m * 9) + -3(m + -2)
31 + 8m = (45 + 9m) + -3(m + -2)

Reorder the terms:
31 + 8m = 45 + 9m + -3(-2 + m)
31 + 8m = 45 + 9m + (-2 * -3 + m * -3)
31 + 8m = 45 + 9m + (6 + -3m)

Reorder the terms:
31 + 8m = 45 + 6 + 9m + -3m

Combine like terms: 45 + 6 = 51
31 + 8m = 51 + 9m + -3m

Combine like terms: 9m + -3m = 6m
31 + 8m = 51 + 6m

Solving
31 + 8m = 51 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
31 + 8m + -6m = 51 + 6m + -6m

Combine like terms: 8m + -6m = 2m
31 + 2m = 51 + 6m + -6m

Combine like terms: 6m + -6m = 0
31 + 2m = 51 + 0
31 + 2m = 51

Add '-31' to each side of the equation.
31 + -31 + 2m = 51 + -31

Combine like terms: 31 + -31 = 0
0 + 2m = 51 + -31
2m = 51 + -31

Combine like terms: 51 + -31 = 20
2m = 20

Divide each side by '2'.
m = 10

Simplifying
m = 10