Mathematics, 10.07.2019 22:00 alekvtaylor
Consider the sequence of steps to solve the equation: 2(x − 4) + 5x = 9x − 10 given ⇒ 2(x − 4) + 6x = 9x − 10 step 1 ⇒ 2x − 8 + 6x = 9x − 10 step 2 ⇒ 2x + 6x − 8 = 9x − 10 step 3 ⇒ 8x − 8 = 9x − 10 step 4 ⇒ 8x − 8x − 8 = 9x − 8x − 10 step 5 ⇒ 0 − 8 = x − 10 step 6 ⇒ −8 = x − 10 step 7 ⇒ −8 + 10 = x − 10 + 10 step 8 ⇒ 2 = x + 0 step 9 ⇒ 2 = x which step in solving this equation is justified by combining like terms? a) step 1 ⇒ 2x − 8 + 6x = 9x − 10 b) step 2 ⇒ 2x + 6x − 8 = 9x − 10 c) step 3 ⇒ 8x − 8 = 9x − 10 d) step 4 ⇒ 8x − 8x − 8 = 9x − 8x − 10
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