20. Consider the expressions \( -2(x-5) \) and \( 10-2 x \). What is the value of the expression \( -2(x-5) \) when \( x=3 \) ? What is the value of the expression \( 10-2 x \) when \( x=3 \) ? - Are the expressions \( -2(x-5) \) and \( 10-2 x \) equivalent? How do you know? Enter your answers in the space provided. Show all your work to support your answers.

To find the value of the expression \( -2(x-5) \) when \( x=3 \): 1. Substitute \( x=3 \) into the expression: \[ -2(3-5) = -2(-2) = 4 \] Now for the expression \( 10-2x \) when \( x=3 \): 1. Substitute \( x=3 \) into the expression: \[ 10 - 2(3) = 10 - 6 = 4 \] Now, we check if the expressions \( -2(x-5) \) and \( 10-2x \) are equivalent by simplifying them. 1. Starting with \( -2(x-5) \): \[ -2(x-5) = -2x + 10 \] 2. Now compare it to \( 10-2x \): The expression \( 10-2x \) is already in the same form as \( -2x + 10 \). Since both expressions simplify to the same result, we can conclude they are equivalent. - The value of \( -2(x-5) \) when \( x=3 \) is \( 4 \). - The value of \( 10-2x \) when \( x=3 \) is also \( 4 \). - Yes, the expressions \( -2(x-5) \) and \( 10-2x \) are equivalent because they simplify to the same expression.