Questions: Solve the equation 6x-8=4x-8. x=

Solve the equation 6x-8=4x-8. x=
Transcript text: Solve the equation $6 x-8=4 x-8$. \[ x= \]
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Solution

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Solution Steps

To solve the equation \(6x - 8 = 4x - 8\), we need to isolate the variable \(x\). We can do this by first eliminating the constant term on both sides and then isolating \(x\) by moving all \(x\)-terms to one side of the equation.

Step 1: Set Up the Equation

We start with the equation: \[ 6x - 8 = 4x - 8 \]

Step 2: Simplify the Equation

To simplify, we can subtract \(4x\) from both sides: \[ 6x - 4x - 8 = -8 \] This simplifies to: \[ 2x - 8 = -8 \]

Step 3: Isolate the Variable

Next, we add \(8\) to both sides: \[ 2x - 8 + 8 = -8 + 8 \] This gives us: \[ 2x = 0 \] Now, we divide both sides by \(2\): \[ x = 0 \]

Final Answer

\(\boxed{x = 0}\)

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