Question

What is the justification for each step in the solution of the equation 3(2x + 7) - 4 = 53 - 3x?

Step 1: 3(2x + 7) - 4 = 53 - 3x
Step 2: 6x + 21 - 4 = 53 - 3x
Step 3: 6x + 17 = 53 - 3x
Step 4: 9x + 17 = 53
Step 5: 9x = 36
Step 6: x = 4

Answer 1

step 1 3(2x+7)-4=53-3x given
step 2 6x+21-4=53-3x expanding
step 3 6x+17=53-3x adding (21-4)
step 4 9x+17=53 adding 3x to both parts
step 5 9x=36 subtracting 17 from both sides
step 6 x=4 divding by 9