Question

An error is made in solving the equation below. what is the correct solution to the equation?

5(x – 5) = 15
5(x – 5 + 5) = 15 + 5
5x = 20
5x ÷ 5 = 20 ÷ 5
x = 4

Answer 1

Solve for x:
5 (x - 5) = 15
Divide both sides of 5 (x - 5) = 15 by 5:
(5 (x - 5))/5 = 15/5
5/5 = 1:
x - 5 = 15/5
The gcd of 15 and 5 is 5, so 15/5 = (5×3)/(5×1) = 5/5×3 = 3:
x - 5 = 3
Add 5 to both sides:
x + (5 - 5) = 5 + 3
5 - 5 = 0:
x = 3 + 5
3 + 5 = 8:
Answer: x = 8

5(x – 5 + 5) = 15 + 5 Step is wrong