Consider the sequence of steps to solve the equation: 2(x βˆ’ 4) + 5x = 9x βˆ’ 10 Given β‡’ 2(x βˆ’ 4) + 6x = 9x βˆ’ 10 Step 1 β‡’ 2x βˆ’ 8 + 6x = 9x βˆ’ 10 Step 2 β‡’ 2x + 6x βˆ’ 8 = 9x βˆ’ 10 Step 3 β‡’ 8x βˆ’ 8 = 9x βˆ’ 10 Step 4 β‡’ 8x βˆ’ 8x βˆ’ 8 = 9x βˆ’ 8x βˆ’ 10 Step 5 β‡’ 0 βˆ’ 8 = x βˆ’ 10 Step 6 β‡’ βˆ’8 = x βˆ’ 10 Step 7 β‡’ βˆ’8 + 10 = x βˆ’ 10 + 10 Step 8 β‡’ 2 = x + 0 Step 9 β‡’ 2 = x Which step in solving this equation is justified by Combining Like Terms? A) Step 1 β‡’ 2x βˆ’ 8 + 6x = 9x βˆ’ 10 B) Step 2 β‡’ 2x + 6x βˆ’ 8 = 9x βˆ’ 10 C) Step 3 β‡’ 8x βˆ’ 8 = 9x βˆ’ 10 D) Step 4 β‡’ 8x βˆ’ 8x βˆ’ 8 = 9x βˆ’ 8x βˆ’ 10

Respuesta :

The like terms 2x and 6x of Step 2 are combined in Step 3:

... C) Step 3 β‡’ 8x -8 = 9x -10

Answer: Step 3 >8x-8=9x-10