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

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

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

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

Combine like terms: 3x + -1x = 2x
6 + 2x = 2(4x + -1)

Reorder the terms:
6 + 2x = 2(-1 + 4x)
6 + 2x = (-1 * 2 + 4x * 2)
6 + 2x = (-2 + 8x)

Solving
6 + 2x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 2x + -8x = -2 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -6x = -2 + 0
6 + -6x = -2

Add '-6' to each side of the equation.
6 + -6 + -6x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -2 + -6
-6x = -2 + -6

Combine like terms: -2 + -6 = -8
-6x = -8

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333