3(4x+1)-9x=6(2-x)

Solution for 3(4x+1)-9x=6(2-x) equation:

Simplifying
3(4x + 1) + -9x = 6(2 + -1x)

Reorder the terms:
3(1 + 4x) + -9x = 6(2 + -1x)
(1 * 3 + 4x * 3) + -9x = 6(2 + -1x)
(3 + 12x) + -9x = 6(2 + -1x)

Combine like terms: 12x + -9x = 3x
3 + 3x = 6(2 + -1x)
3 + 3x = (2 * 6 + -1x * 6)
3 + 3x = (12 + -6x)

Solving
3 + 3x = 12 + -6x

Solving for variable 'x'.

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

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

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

Combine like terms: -6x + 6x = 0
3 + 9x = 12 + 0
3 + 9x = 12

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

Combine like terms: 3 + -3 = 0
0 + 9x = 12 + -3
9x = 12 + -3

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

Divide each side by '9'.
x = 1

Simplifying
x = 1