3(x+2)=12x+5

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

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

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

Reorder the terms:
6 + 3x = 5 + 12x

Solving
6 + 3x = 5 + 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 = 5 + 12x + -12x

Combine like terms: 3x + -12x = -9x
6 + -9x = 5 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -9x = 5 + 0
6 + -9x = 5

Add '-6' to each side of the equation.
6 + -6 + -9x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 5 + -6
-9x = 5 + -6

Combine like terms: 5 + -6 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111