12x-3(x-2)=3(x+4)

Solution for 12x-3(x-2)=3(x+4) equation:

Simplifying
12x + -3(x + -2) = 3(x + 4)

Reorder the terms:
12x + -3(-2 + x) = 3(x + 4)
12x + (-2 * -3 + x * -3) = 3(x + 4)
12x + (6 + -3x) = 3(x + 4)

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

Combine like terms: 12x + -3x = 9x
6 + 9x = 3(x + 4)

Reorder the terms:
6 + 9x = 3(4 + x)
6 + 9x = (4 * 3 + x * 3)
6 + 9x = (12 + 3x)

Solving
6 + 9x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 9x + -3x = 12 + 3x + -3x

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

Combine like terms: 3x + -3x = 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