6(x+1)=3(4+4x)

Solution for 6(x+1)=3(4+4x) equation:

Simplifying
6(x + 1) = 3(4 + 4x)

Reorder the terms:
6(1 + x) = 3(4 + 4x)
(1 * 6 + x * 6) = 3(4 + 4x)
(6 + 6x) = 3(4 + 4x)
6 + 6x = (4 * 3 + 4x * 3)
6 + 6x = (12 + 12x)

Solving
6 + 6x = 12 + 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 + 6x + -12x = 12 + 12x + -12x

Combine like terms: 6x + -12x = -6x
6 + -6x = 12 + 12x + -12x

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

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

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

Combine like terms: 12 + -6 = 6
-6x = 6

Divide each side by '-6'.
x = -1

Simplifying
x = -1