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

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

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

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

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

Combine like terms: 3 + 2 = 5
5 + -3x + 4x = 2

Combine like terms: -3x + 4x = 1x
5 + 1x = 2

Solving
5 + 1x = 2

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 2 + -5
1x = 2 + -5

Combine like terms: 2 + -5 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3