how do i solve this?

Answer:
x = 2
Step-by-step explanation:
Set up a proportion. Use the big triangle (whose left side is 6 + 4) and the top triangle.
6/(6 + 4) = (x + 1) / (x + x+1)
6/10 = (x + 1 ) / (2x + 1) Reduce the left side
3/5 = (x + 1) / (2x + 1) Cross Multiply
3*(2x + 1) = 5*(x + 1) Remove the brackets
6x + 3 = 5x + 5 Subtract 5x from both sides
6x-5x + 3 = 5 Combine the left
x + 3 = 5 Subtract 3 from both sides
x = 2
Answer:
x=2
Step-by-step explanation:
as the two triangles are similar
So the equation is
10/2x+1=6/x+1
=>10(x+1)=6(2x+1)
=>10x+10=12x+6
=>2x+6=10
=>2x=10-6
=>2x=4
=>x=4/2
therefore
x=2