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

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

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

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

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

Reorder the terms:
-6 + -2 + 3x + -4x = 2

Combine like terms: -6 + -2 = -8
-8 + 3x + -4x = 2

Combine like terms: 3x + -4x = -1x
-8 + -1x = 2

Solving
-8 + -1x = 2

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 2 + 8
-1x = 2 + 8

Combine like terms: 2 + 8 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10