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Solve the following equation for x.

4x-6=8

x=

1 answer

To solve the equation \( 4x - 6 = 8 \), follow these steps:

  1. Add 6 to both sides of the equation:

    \[ 4x - 6 + 6 = 8 + 6 \]

    simplifying gives:

    \[ 4x = 14 \]

  2. Divide both sides by 4:

    \[ x = \frac{14}{4} \]

    Simplifying \(\frac{14}{4}\):

    \[ x = \frac{7}{2} \]

So, the solution is:

\[ x = 3.5 \quad \text{or} \quad x = \frac{7}{2} \]