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Judge the identity
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Solve the equation
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$ $ TRUE $ $
Judge the identity
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) = 2 x - 2$
$ $ Multiply each term in parentheses by $ 2$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } = 2 x - 2$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } = \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$ $ Since the values to calculate for all terms are equal, this expression is an identity $ $
$ $ TRUE $ $
$ $ There are countless solutions $ $
Solve the equation
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) = 2 x - 2$
$ $ Multiply each term in parentheses by $ 2$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } = 2 x - 2$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } = \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$ $ Since both sides are the same, this equation is true regardless of the variable $ $
$ $ There are countless solutions $ $
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