3(m+2)=8(m+7)

Solution for 3(m+2)=8(m+7) equation:

Simplifying
3(m + 2) = 8(m + 7)

Reorder the terms:
3(2 + m) = 8(m + 7)
(2 * 3 + m * 3) = 8(m + 7)
(6 + 3m) = 8(m + 7)

Reorder the terms:
6 + 3m = 8(7 + m)
6 + 3m = (7 * 8 + m * 8)
6 + 3m = (56 + 8m)

Solving
6 + 3m = 56 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
6 + 3m + -8m = 56 + 8m + -8m

Combine like terms: 3m + -8m = -5m
6 + -5m = 56 + 8m + -8m

Combine like terms: 8m + -8m = 0
6 + -5m = 56 + 0
6 + -5m = 56

Add '-6' to each side of the equation.
6 + -6 + -5m = 56 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = 56 + -6
-5m = 56 + -6

Combine like terms: 56 + -6 = 50
-5m = 50

Divide each side by '-5'.
m = -10

Simplifying
m = -10