Answer:
x = 8
Explanation:
1/4 + 1/x = 3/8
LCM: 4 x 8 = 8x
1/4 * 8x + 1/x * 8x = 3/8 * 8x
Simplify
2x + 8 = 3x
Subtract
2x + 8 - 8 = 3x - 8
Simplify
2x = 3x - 8
Subtract
2x - 3x = 3x - 8 - 3x
Simplify
-x = -8
Divide both sides -1
-x/-1 = -8/-1
Simplify
x = 8