For what value of x do the expressions 23x+2 and 43x-6 have the same value?

2/5 = x

Step-by-step explanation:

These expressions have the same value when they are equal

23x+2 = 43x-6

Now we can solve for x

Subtract 23x from each side

23x - 23x + 2 = 43x-23x - 6

2 = 20x-6

Add 6 to each side

2+6 = 20x-6+6

8 = 20x

Divide each side by 20

8/20 = 20x/20

Divide the top and bottom by 4

2/5 = x