There are 3 consecutive even numbers. the sum of the first number and 2 times the third number is 46 more than the second number. what is the third number

Let x be the first number

let x+2 be the second

and x + 4 be the third

so t he sum of the first number and 2 times the third number is 46 more than the second number which mean

x + 2 (x+4) = 46 + (x+2)

x + 2x+8 = 46+x+2

3x + 8 = 48 + x

2x = 40

x = 20

the third number is x+4 = 20 + 4 = 24