Answer:
[tex]x=4[/tex]
Step-by-step explanation:
Solving for [tex]x[/tex], we get:
[tex]16=2(3x-6)+x[/tex]
[tex]16=2*3x+2(-6)+x[/tex] (Distributive Property of Multiplication)
[tex]16=6x-12+x[/tex] (Multiply distributed terms)
[tex]16=7x-12[/tex] (Combine like terms)
[tex]16+12=7x-12+12[/tex] (Add [tex]12[/tex] to both sides of the equation to isolate [tex]x[/tex])
[tex]28=7x[/tex] (Combine like terms / Simplify)
[tex]\frac{28}{7}=\frac{7x}{7}[/tex] (Divide both sides of the equation by [tex]7[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]\bf x=4[/tex] (Simplify / Symmetric Property of Equality)
Hope this helps!
