Given the equation below:
[tex]3(x-4)=2(-2x+1)[/tex]Remove the brackets by using the distributive property of algebra
[tex]3(x)-3(4)=2(-2x)+2(1)[/tex][tex]\begin{gathered} 3x-12=-4x+2 \\ \end{gathered}[/tex]Collect like terms and simplify
[tex]\begin{gathered} 3x+4x=2+12 \\ 7x=14 \\ \frac{7x}{7}=\frac{14}{7} \\ x=2 \end{gathered}[/tex]Hence, the value of x is 2