-3(x+5)2=-51

Solution for -3(x+5)2=-51 equation:

Simplifying
-3(x + 5) * 2 = -51

Reorder the terms:
-3(5 + x) * 2 = -51

Reorder the terms for easier multiplication:
-3 * 2(5 + x) = -51

Multiply -3 * 2
-6(5 + x) = -51
(5 * -6 + x * -6) = -51
(-30 + -6x) = -51

Solving
-30 + -6x = -51

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + -6x = -51 + 30

Combine like terms: -30 + 30 = 0
0 + -6x = -51 + 30
-6x = -51 + 30

Combine like terms: -51 + 30 = -21
-6x = -21

Divide each side by '-6'.
x = 3.5

Simplifying
x = 3.5