Question

Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation

Answer 1

Answer: (a) x = -1

Explanation:

Given

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

Expand parentheses and apply the distributive property

(-2) · x - (-2) · 1 = 1 - 3x

-2x + 2 = 1 - 3x

Add 3x on both sides

-2x + 2 + 3x = 1 - 3x + 3x

x + 2 = 1

Subtract 2 on both sides

x + 2 = 1 - 2

`\boxed{x=-1}`

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