51=3(m+2)

Solution for 51=3(m+2) equation:

Simplifying
51 = 3(m + 2)

Reorder the terms:
51 = 3(2 + m)
51 = (2 * 3 + m * 3)
51 = (6 + 3m)

Solving
51 = 6 + 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.
51 + -3m = 6 + 3m + -3m

Combine like terms: 3m + -3m = 0
51 + -3m = 6 + 0
51 + -3m = 6

Add '-51' to each side of the equation.
51 + -51 + -3m = 6 + -51

Combine like terms: 51 + -51 = 0
0 + -3m = 6 + -51
-3m = 6 + -51

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

Divide each side by '-3'.
m = 15

Simplifying
m = 15