Question

Solve the equation, check your answer by plugging in. Show each step and show how you checked your answer. 5(s-12)-24=3(s+2)

Answer 1

45

Explanation:

First, we distribute.

5(s - 12) - 24 = 3(s + 2) Original equation
5s - 60 - 24 = 3s + 6 Multiply the number infront of the parentheses into it
5s - 84 = 3s + 6 Let the numbers on the left subtract
5s = 3s + 90 Add 84 to both sides
2s = 90 Subtract 3s from both sides
s = 45 Divide both sides by 2

Now, we think s equals 45. To check if it actually does and we didn't make a mistake, we will input it into the original equation.

5(s - 12) - 24 = 3(s + 2) Original equation
5((45) - 12) - 24 = 3((45) + 2) Plug in 45 as s
5(33) - 24 = 3(47) Add/subtract to/from 45 inside the parentheses
165 - 24 = 141 Multiply the number infront of the parentheses into it
141 = 141 Let 24 subtract from 165 on the left

Now we know that s equals 45.