51=3(a+2)

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

Simplifying
51 = 3(a + 2)

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

Solving
51 = 6 + 3a

Solving for variable 'a'.

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

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

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

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

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

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

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

Simplifying
a = 15