4/5 x + 1/10 = 1/2
Get a common denominator of 10
4/5 x * 2/2 = 8/10 x
1/10 already has a denominator of 10
1/2 * 5/5 = 5/10
8/10 x + 1/10 = 5/10
Multiply each side by 10
10 (8/10 x + 1/10) = 5/10 * 10
8x +1 = 5
Subtract 1 from each side
8x+1-1 = 5-1
8x = 4
Divide each side by 8
8x/8 = 4/8
x = 4/8
We can simplify the fraction
x = 1/2