Answer:
x = 2
Explanation:
![(x)/(2x+1) = (16)/(40)](https://img.qammunity.org/2023/formulas/mathematics/high-school/eqhpanm7gq7na7o97vr2xjvg82xhkl1kx2.png)
Step 1: Cross multiply
We want to eliminate all denominators, so we multiply the opposite numerators and denominators
![(x)/(2x+1) = (16)/(40)\\\\\\x\cdot40 = 16(2x + 1)\\\\\\40x = 32x + 16](https://img.qammunity.org/2023/formulas/mathematics/high-school/xp3hadw31d3cz7l6v704eakuqqbdhrnvpv.png)
Step 2: Solve for x
Now we want x by itself, and we have to solve for x.
- Move all terms with x on one side
![40x = 32x + 16\\\\\\40x - 32x = 16\\\\\\8x = 16](https://img.qammunity.org/2023/formulas/mathematics/high-school/me7pxt6k13pedtrizvonjmny47tyxazlyb.png)
- Now remove all coefficients with x
![8x = 16\\\\8(x) = 16\\\\x = 16/8\\\\x = 2](https://img.qammunity.org/2023/formulas/mathematics/high-school/s639rg1vkjn0wv0wvqbotkrg4x0d4pvygs.png)
-Chetan K