Question

+) Six times the sum of a number and -1 is the same as 2 more than 8 times the number. Find the number.

Answer 1

-4

Explanation:

6(a+(-1)) = 8a + 2

then:

6(a-1) = 8a + 2

6*a + 6*-1 = 8a + 2

6a - 6 = 8a + 2

6a - 8a = 2 + 6

-2a = 8

a = 8/-2

a = -4

Check:

6(-4-1) = 8*-4 + 2

6*-5 = -32 + 2 = -30