Kirk Schwartz
02/23/2023 · Junior High School
Check to see if the given value is a solution to the equation. \( 3 x=2 x+10 ; x=-2 \) It is a solution. It is not a solution.
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Step-by-step Solution
To check if \( x = -2 \) is a solution to the equation \( 3x = 2x + 10 \), we can substitute \( -2 \) for \( x \) in the equation and see if both sides are equal.
Starting with the left side of the equation:
\[
3x = 3(-2) = -6
\]
Now, for the right side of the equation:
\[
2x + 10 = 2(-2) + 10 = -4 + 10 = 6
\]
Now we compare both sides:
Left side: \( -6 \)
Right side: \( 6 \)
Since \( -6 \neq 6 \), the equation does not hold true when \( x = -2 \).
Therefore, \( x = -2 \) is **not a solution** to the equation \( 3x = 2x + 10 \).
Quick Answer
It is not a solution.
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