Answer:
x = 2
Step-by-step explanation:
[tex]\frac{x}{2x+1} = \frac{16}{40}[/tex]
Step 1: Cross multiply
We want to eliminate all denominators, so we multiply the opposite numerators and denominators
[tex]\frac{x}{2x+1} = \frac{16}{40}\\\\\\x\cdot40 = 16(2x + 1)\\\\\\40x = 32x + 16[/tex]
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
[tex]40x = 32x + 16\\\\\\40x - 32x = 16\\\\\\8x = 16[/tex]
- Now remove all coefficients with x
[tex]8x = 16\\\\8(x) = 16\\\\x = 16/8\\\\x = 2[/tex]
-Chetan K
