RS = 4 (x-3) + 6 and RT = 5 (2x-6)

The value of x = 4

Explanation:

RS = 4 (x-3) + 6

= 4x-12+6

= 4x-6

RT = 5 (2x-6)

= 10x-30

Showing left hand side is equal to right hand side.

4x-6 = 10x-30

Divide both left hand side and right hand side by 2, we get:

2x-3 = 5x-15

Rearrange both the sides

-3+15 = 5x-2x

12 = 3x

x = 4

Thus, the value of x is 4