A number increased by 4 is the same as 19 minus 2 times the number.

Make an equation out of the words

x+4=2x-19

solve for x to get the number

subtract both sides by x

4=x-19

add 19 to both sides

23=x

therefore, the number is 23

You must start using a variable which i will use n.

A number increased by 4, n+4, is the the same, =, as 19 minus 2 times the number, 19-2n.

You must then set up the equation using the description n+4=19-2n.

Then solve the equation

3n+4=19

3n=15

n=5

The answer would then be 5.