Question

solve the equation.
2x - 4 = 2(x - 1)
no solutions
{0}
{1}
{-1}

Explanation:

Step1: Expand the right-hand side

$2(x-1) = 2x - 2$

Step2: Rewrite the original equation

$2x - 4 = 2x - 2$

Step3: Subtract $2x$ from both sides

$2x - 4 - 2x = 2x - 2 - 2x$
$-4 = -2$

Step4: Evaluate the resulting statement

The equation $-4=-2$ is false, so there are no values of $x$ that satisfy the original equation.

Answer:

No solutions