Solve the linear inequality

Solve the inequality for x.
​(x - 1) - (1 - x) < (x - 1) - (2 - 2x)

(x + 1) - (1 - x) < (x - 1) - (2 - 2x)
x + 1 - 1 + x < x - 1 - 2 + 2x   {removed parentheses}
​2x < 3x - 3   {combined like terms}
​-x < -3   {subtracted 3x from each side}
x > 3   {divided each side by -1 and changed the inequality sign}

Whenever you multiply or divide both sides of an inequality by a negative number,
change (reverse) the inequality sign.

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