Need help with this thanks! The first equation is 4x-3

EXPLANATIONWe can affirm by the triangle midsegment theorem that the segment DF is half of the segment BC, therefore:[tex]DF=\frac{1}{2}BC[/tex]Plugging in the terms into the expression:[tex](4x-3)=\frac{1}{2}(6(x+1))[/tex]Applying the distributive property and removing the parentheses:[tex]4x-3=3x+3[/tex]Subtracting -3x to both sides:[tex]4x-3x-3=3[/tex]Subtracting terms:[tex]x-3=3[/tex]Adding +3 to both sides:[tex]x=3+3[/tex]Adding numbers:[tex]x=6[/tex]In conclusion, the value of x is 6