Question

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

Answer 1

Step-by-step explanation

We can affirm by the triangle midsegment theorem that the segment DF is half of the segment BC, therefore:

`DF=(1)/(2)BC`

Plugging in the terms into the expression:

`(4x-3)=(1)/(2)(6(x+1))`

Applying the distributive property and removing the parentheses:

`4x-3=3x+3`

Subtracting -3x to both sides:

`4x-3x-3=3`

Subtracting terms:

`x-3=3`

Adding +3 to both sides:

`x=3+3`

Adding numbers:

`x=6`

In conclusion, the value of x is 6