Question

What is the correct justification for the first step in solving this equation? 3(x - 4) + 1 = 12x

Answer 1

Solve the first part in Parenthese

Explanation:

3(X-4)

3x-12+1=12x

-1 -1

3x-11-12=12x

-12 -12

3x-11=0x

-11 -11

3x= -11x

/3 /3

x= -11/9

Answer 2

x = -11/9

Explanation:

3(x-4) + 1 = 12x

Step 1: Use distributive property

3*x - 3*4 + 1 = 12x

3x - 12 + 1 = 12x

Step 2: Combine like terms

3x - 11 = 12x

Step 3: Subtract '3x' from both sides

-11 = 12x - 3x

-11 = 9x

Step 4: Divide both sides by 9

-11/9 = x