consider the sequence of steps to solve the equation: 2(x - 4) + 6x = 9x - 10\ngiven ⇒ 2(x - 4) + 6x = 9x…

consider the sequence of steps to solve the equation: 2(x - 4) + 6x = 9x - 10\ngiven ⇒ 2(x - 4) + 6x = 9x - 10\nstep 1 ⇒ 2x - 8 + 6x = 9x - 10\nstep 2 ⇒ 2x + 6x - 8 = 9x - 10\nstep 3 ⇒ 8x - 8 = 9x - 10\nstep 4 ⇒ 8x - 8x - 8 = 9x - 8x - 10\nstep 5 ⇒ 0 - 8 = x - 10\nstep 6 ⇒ -8 = x - 10\nstep 7 ⇒ -8 + 10 = x - 10 + 10\nstep 8 ⇒ 2 = x + 0\nstep 9 ⇒ 2 = x\nwhich step in solving this equation is justified by the distributive property?\na step 1 ⇒ 2x - 8 + 6x = 9x - 10\nb step 2 ⇒ 2x + 6x - 8 = 9x - 10\nc step 3 ⇒ 8x - 8 = 9x - 10\nd step 4 ⇒ 8x - 8x - 8 = 9x - 8x - 10

consider the sequence of steps to solve the equation: 2(x - 4) + 6x = 9x - 10\ngiven ⇒ 2(x - 4) + 6x = 9x - 10\nstep 1 ⇒ 2x - 8 + 6x = 9x - 10\nstep 2 ⇒ 2x + 6x - 8 = 9x - 10\nstep 3 ⇒ 8x - 8 = 9x - 10\nstep 4 ⇒ 8x - 8x - 8 = 9x - 8x - 10\nstep 5 ⇒ 0 - 8 = x - 10\nstep 6 ⇒ -8 = x - 10\nstep 7 ⇒ -8 + 10 = x - 10 + 10\nstep 8 ⇒ 2 = x + 0\nstep 9 ⇒ 2 = x\nwhich step in solving this equation is justified by the distributive property?\na step 1 ⇒ 2x - 8 + 6x = 9x - 10\nb step 2 ⇒ 2x + 6x - 8 = 9x - 10\nc step 3 ⇒ 8x - 8 = 9x - 10\nd step 4 ⇒ 8x - 8x - 8 = 9x - 8x - 10

Answer

Brief Explanations:

The distributive property (a(b + c)=ab+ac) is used to expand (2(x - 4)) to (2x-8). In step 1 of solving the equation (2(x - 4)+6x = 9x - 10), we apply the distributive property to get (2x-8 + 6x=9x - 10).

Answer:

A. Step 1 ⇒ (2x - 8+6x = 9x - 10)