Question

What is the value of s in the equation 4(2s − 1) = 7s + 12? (4 points)

A.12
B.16
C.32
D.34

Answer 1

B) 16

8s-4=7s+12

s-4=12

s=16

Answer 2

B. 16

Explanation:

Solve for s:

`\longrightarrow` 4(2s - 1) = 7s + 12

Expand out terms of the left hand side:

`\longrightarrow` 8s - 4 = 7s + 12

Subtract 7 s from both sides:

`\longrightarrow` (8s - 7s) - 4 = (7s - 7s) + 12

8s - 7s = s:

`\longrightarrow` s - 4 = (7s - 7s) + 12

7s - 7s = 0:

`\longrightarrow` s - 4 = 12

Add 4 to both sides:

`\longrightarrow` s + (4 - 4) = 4 + 12

4 - 4 = 0:

`\longrightarrow` s = 12 + 4

12 + 4 = 16:

`\longrightarrow` s = 16