5 increased by the product of x and 3 is 23 what is x

x= 6

Step-by-step explanation:

5 increase , so 5 is added to product of x and 3 (3x)

3x+5 = 23

3x= 18

x= 6

See step by step explanation.

Step-by-step explanation:

Recall that given two integers a, b, a divides b if there exists an integer k such that b = ka.

Let a,b,d be integers, such that d>0.

a) Suppose that d divides a and d divides b. Then, there exists such that and . Consider a+b and a-b. Replacing the previous equation, we have that

Since then and are both integers. Then, d divides both a+b and a-b.

b) It is false. Let a = 7, b = 5. Then d = 2 divides a+b (12) and a-b (2) but neither 2 divides 7 nor 2 divides 5.