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

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


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

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

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

Remove parenthesis around (-2 + 2x)
-3 + 3x + -2 + 2x = x + -1

Reorder the terms:
-3 + -2 + 3x + 2x = x + -1

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

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

Reorder the terms:
-5 + 5x = -1 + x

Solving
-5 + 5x = -1 + x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
-5 + 4x = -1 + 0
-5 + 4x = -1

Add '5' to each side of the equation.
-5 + 5 + 4x = -1 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = -1 + 5
4x = -1 + 5

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

Divide each side by '4'.
x = 1

Simplifying
x = 1

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