the product of 4 and a number x increased by one is equal to the sum of a number x and seven

Answer 1

4(x + 1) = 7+x

4x + 4 = 7+x

3x = 3

x = 3/3 = 1

but maybe you really meant. that's how it seems to be written if you apply PEMDAS. P before A, product of 4 and x before adding 1.

4x +1 = 7+x

3x = 6

x =6/3 = 2

the number is 2