Question

PLS HELP ASAP!! Which value of x makes 7 + 5(x - 3) = 22 a true statement? khan academy

A) x = 4
B) x = 5
C) x = 6
D) x = 7

Answer 1

The Answer is c) 6

Explanation:

Solve for x:

5 (x - 3) + 7 = 22

5 (x - 3) = 5 x - 15:

5 x - 15 + 7 = 22

Grouping like terms, 5 x - 15 + 7 = 5 x + (7 - 15):

5 x + (7 - 15) = 22

7 - 15 = -8:

5 x + -8 = 22

Add 8 to both sides:

5 x + (8 - 8) = 8 + 22

8 - 8 = 0:

5 x = 22 + 8

22 + 8 = 30:

5 x = 30

Divide both sides of 5 x = 30 by 5:

(5 x)/5 = 30/5

5/5 = 1:

x = 30/5

The gcd of 30 and 5 is 5, so 30/5 = (5×6)/(5×1) = 5/5×6 = 6:

Answer: x = 6

Answer 2

x=6

Explanation:

7 + 5(x - 3) = 22

The first step is to distribute the 5

7+ 5x-5*3 =22

7+ 5x-15 =22

Combine like terms

5x-8 =22

Add 8 to each side

5x-8+8 =22+8

5x = 30

5x/5 = 30/5

x=6