x+3*(x-1)-2-3*(x-1)=0

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Solution for x+3*(x-1)-2-3*(x-1)=0 equation: 


Simplifying
x + 3(x + -1) + -2 + -3(x + -1) = 0

Reorder the terms:
x + 3(-1 + x) + -2 + -3(x + -1) = 0
x + (-1 * 3 + x * 3) + -2 + -3(x + -1) = 0
x + (-3 + 3x) + -2 + -3(x + -1) = 0

Reorder the terms:
x + -3 + 3x + -2 + -3(-1 + x) = 0
x + -3 + 3x + -2 + (-1 * -3 + x * -3) = 0
x + -3 + 3x + -2 + (3 + -3x) = 0

Reorder the terms:
-3 + -2 + 3 + x + 3x + -3x = 0

Combine like terms: -3 + -2 = -5
-5 + 3 + x + 3x + -3x = 0

Combine like terms: -5 + 3 = -2
-2 + x + 3x + -3x = 0

Combine like terms: x + 3x = 4x
-2 + 4x + -3x = 0

Combine like terms: 4x + -3x = 1x
-2 + 1x = 0

Solving
-2 + 1x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 0 + 2

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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