12-3(x+2)=12(x+5)-27

Solution for 12-3(x+2)=12(x+5)-27 equation:

Simplifying
12 + -3(x + 2) = 12(x + 5) + -27

Reorder the terms:
12 + -3(2 + x) = 12(x + 5) + -27
12 + (2 * -3 + x * -3) = 12(x + 5) + -27
12 + (-6 + -3x) = 12(x + 5) + -27

Combine like terms: 12 + -6 = 6
6 + -3x = 12(x + 5) + -27

Reorder the terms:
6 + -3x = 12(5 + x) + -27
6 + -3x = (5 * 12 + x * 12) + -27
6 + -3x = (60 + 12x) + -27

Reorder the terms:
6 + -3x = 60 + -27 + 12x

Combine like terms: 60 + -27 = 33
6 + -3x = 33 + 12x

Solving
6 + -3x = 33 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + -3x + -12x = 33 + 12x + -12x

Combine like terms: -3x + -12x = -15x
6 + -15x = 33 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -15x = 33 + 0
6 + -15x = 33

Add '-6' to each side of the equation.
6 + -6 + -15x = 33 + -6

Combine like terms: 6 + -6 = 0
0 + -15x = 33 + -6
-15x = 33 + -6

Combine like terms: 33 + -6 = 27
-15x = 27

Divide each side by '-15'.
x = -1.8

Simplifying
x = -1.8