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

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

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

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

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

Reorder the terms:
6 + 2x = 2(-3 + 4x) + 2
6 + 2x = (-3 * 2 + 4x * 2) + 2
6 + 2x = (-6 + 8x) + 2

Reorder the terms:
6 + 2x = -6 + 2 + 8x

Combine like terms: -6 + 2 = -4
6 + 2x = -4 + 8x

Solving
6 + 2x = -4 + 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 = -4 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -6x = -4 + 0
6 + -6x = -4

Add '-6' to each side of the equation.
6 + -6 + -6x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -4 + -6
-6x = -4 + -6

Combine like terms: -4 + -6 = -10
-6x = -10

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667