-6+3(4x-5)=51

Solution for -6+3(4x-5)=51 equation:

Simplifying
-6 + 3(4x + -5) = 51

Reorder the terms:
-6 + 3(-5 + 4x) = 51
-6 + (-5 * 3 + 4x * 3) = 51
-6 + (-15 + 12x) = 51

Combine like terms: -6 + -15 = -21
-21 + 12x = 51

Solving
-21 + 12x = 51

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 12x = 51 + 21

Combine like terms: -21 + 21 = 0
0 + 12x = 51 + 21
12x = 51 + 21

Combine like terms: 51 + 21 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6