To solve the equation \( 4x - 6 = 8 \), follow these steps:
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First, add 6 to both sides of the equation: \[ 4x - 6 + 6 = 8 + 6 \] This simplifies to: \[ 4x = 14 \]
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Next, divide both sides by 4 to solve for \( x \): \[ x = \frac{14}{4} \] Simplifying \( \frac{14}{4} \) gives: \[ x = \frac{7}{2} \] or \[ x = 3.5 \]
Thus, the solution is: \[ x = \frac{7}{2} \quad \text{or} \quad x = 3.5 \]