5(6+6x)+3(4x+3)=-45

Solution for 5(6+6x)+3(4x+3)=-45 equation:

Simplifying
5(6 + 6x) + 3(4x + 3) = -45
(6 * 5 + 6x * 5) + 3(4x + 3) = -45
(30 + 30x) + 3(4x + 3) = -45

Reorder the terms:
30 + 30x + 3(3 + 4x) = -45
30 + 30x + (3 * 3 + 4x * 3) = -45
30 + 30x + (9 + 12x) = -45

Reorder the terms:
30 + 9 + 30x + 12x = -45

Combine like terms: 30 + 9 = 39
39 + 30x + 12x = -45

Combine like terms: 30x + 12x = 42x
39 + 42x = -45

Solving
39 + 42x = -45

Solving for variable 'x'.

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

Add '-39' to each side of the equation.
39 + -39 + 42x = -45 + -39

Combine like terms: 39 + -39 = 0
0 + 42x = -45 + -39
42x = -45 + -39

Combine like terms: -45 + -39 = -84
42x = -84

Divide each side by '42'.
x = -2

Simplifying
x = -2