Question

2x-4/10 = 2x/20 Solve for x.

Answer 1

Solution

1) Simplify $\frac{4}{10}$ to $\frac{2}{5}$
2x− $\frac{2}{5}$ =2 x $\frac{x}{20}$

2) Simplify 2 x $\frac{x}{20}$ to $\frac{x}{10}$
2x−$\frac{2}{5}$ =  $\frac{x}{10}$ 

3) Multiply each side by 10 
20x−4=x

4) Subtract 20x from each side
−4=x−20

5) Simplify x−20x to −19x 
−4=−19x

6) Divide each side by −19
$\frac{-4}{-19}$ =x

7) Simplify $\frac{-4}{-19}$ to $\frac{4}{19}$
 $\frac{4}{19}$=x

8) answer 
x= $\frac{4}{19}$

Answer 2

Make 2x/20=x/10
2x-4/10=x/10
multiply both sides by 10
20x-4=x
subtract x from both sides
19x-4=0
add 4
19x=4
divide by 19
x=4/19