Write and equation and justification to find $x$.

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I'm a little stuck on the following question, help would be appreciated

Given that $m\angle ABD=2x+12$, $m\angle CBD= 6x-18$, and $BD$ is an angle bisector, write an equation and justification to find $x$.

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In the case that $BD$ is a bisector, then $2x+12 = 6x-18 \implies 4x = 30 \implies x = \dfrac{15}{2}$.