Question

When a number is multiplied by 4 before
subtracting from 68, the result obtained is
the same as three times the sum of the number
and 4. Find the number.​

Answer 1

Answer:

8

Step-by-step explanation:

68 - 4x = 3 (4 + x)

We move all terms to the left:

68 - 4x - (3(4 + x)) = 0

We add all the numbers together, and all the variables

-4x - (3(x + 4)) + 68 = 0

We calculate terms in parentheses: - (3(x + 4)), so:

3 (x + 4)

We multiply parentheses

3x + 12

Back to the equation:

- (3x + 12)

We get rid of parentheses

-4x - 3x - 12 + 68 = 0

We add all the numbers together, and all the variables

-7x + 56 = 0

We move all terms containing x to the left, all other terms to the right

-7x=-56

x= -56/-7

x= 8