Question

If 3 times a number is increased by 22, the result is 14 less than 7 times the number. What is the number

Answer 1

If our number is $x$, we obtain by the statement:

$3x+22=7x-14\\\\ 3x+22-7x=-14\\\\ 3x-7x=-14-22\\\\ -4x=-14-22\\\\ -4x=-36\\\\ x=\dfrac{-36}{-4}=\dfrac{36}{4}\\\\\boxed{x=9}$

Answer 2

Number is x
3 times of x is increased by 22, that euals 14 less than 7 times x
3x+22=-14+7x
minus 3x both sides
22=-14+4x
add 14 to both sides
36=4x
divide both sides by 4
9=x
the number is 9