Answer
inconsistent equation
Work Step by Step
Distribute $3$ then combine like terms to obtain:
$-4x-3(2) -3(-2x)=7+2x
\\-4x-6-(-6x)=7+2x
\\-4x-6+6x=7+2x
\\2x-6=7+2x$
Subtract $2x$ and add $6$ on both sides of the equation to obtain:
$2x-2x=7+6
\\0=13$
The statement above is false therefore the given equation is inconsistent.