Question

consider the following problem. the difference between seven times a number and 6 is equal to four times the sum of the number and 2. find the number. if x represents the number, which equation is correct for solving this problem? choose the correct answer below. a. $6 - 7x = 4(x + 2)$ b. $7x - 6 = 4(x + 2)$ c. $6 - 7x = 4x + 2$ d. $7x - 6 = 4x + 2$

Explanation:

Step1: Translate "seven times a number"

$7x$

Step2: Translate "difference with 6"

$7x - 6$

Step3: Translate "sum of number and 2"

$x + 2$

Step4: Translate "four times the sum"

$4(x + 2)$

Step5: Set equal both expressions

$7x - 6 = 4(x + 2)$

Answer:

B. $7x - 6 = 4(x + 2)$