Questions: Determine if the following equation is a conditional equation, an identity, or a contradiction. 5(x-4)-3 x=-4(x+5)+6 x

Transcript text: Determine if the following equation is a conditional equation, an identity, or a contradiction. \[ 5(x-4)-3 x=-4(x+5)+6 x \]

Solution

Step 1: Simplify both sides

After simplifying and subtracting one side from the other, we get \(0 = 6x^2 - 46x^1\).

Step 2: Analyze the resulting expression

Since the resulting expression \(0 = 6x^2 - 46x^1\) has at least one solution, it is not true for all values of \(x\).

The equation is a ^conditional equation^.

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