5x - 6 = -2
5x = 4
x = 4/5, the intercept
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As written this is not a graphable thing. I does not represent a graphable equation because there is no "=" sign. Whatever the equation might be, the x intercept is found by setting y=0, which leaves you with an equation for x, which is the intercept.
A linear equation has no higher powers than 1. This is linear.
When it is a linear equation.
It is a linear equation.