Questions: 3x-5=3x+5 -3x-3x -5-5 45+5 =0 5x+16=7x-16

3x-5=3x+5 -3x-3x -5-5 45+5 =0 5x+16=7x-16
Transcript text: \#2 \[ 3 x-5=3 x+5 \] \[ -3 x-3 x \] \[ \begin{array}{l} -5-5 \\ 45+5 \end{array} \] \[ =0 \] \#4 \[ 5 x+16=7 x-16 \]
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Solution

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Solution Steps

Step 1: Analyze the First Equation

The first equation given is:

\[ 3x - 5 = 3x + 5 \]

Step 2: Simplify the Equation

Subtract \(3x\) from both sides:

\[ 3x - 5 - 3x = 3x + 5 - 3x \]

This simplifies to:

\[ -5 = 5 \]

Step 3: Interpret the Result

The equation \(-5 = 5\) is a contradiction, which means there is no solution for \(x\).

Final Answer

\(\boxed{\text{No solution}}\)

Step 1: Analyze the Second Equation

The second equation given is:

\[ 5x + 16 = 7x - 16 \]

Step 2: Rearrange the Equation

Subtract \(5x\) from both sides:

\[ 5x + 16 - 5x = 7x - 16 - 5x \]

This simplifies to:

\[ 16 = 2x - 16 \]

Step 3: Solve for \(x\)

Add 16 to both sides:

\[ 16 + 16 = 2x - 16 + 16 \]

This simplifies to:

\[ 32 = 2x \]

Divide both sides by 2:

\[ x = \frac{32}{2} \]

\[ x = 16 \]

Final Answer

\(\boxed{x = 16}\)

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