Andre and Diego are solving the equation 2x + 6 = 3x - 8. Andre's first step was to subtract x from both sides, while Diego's first step was to subtract 2x from both sides.
Andre subtracted x from both sides, and Diego subtracted 2x from both sides to solve the equation 2x + 6 = 3x - 8.
To solve for x, Andre and Diego need to consolidate the x terms on one side of the equation. Andre's approach was to subtract x from both sides, giving him -x + 6 = -8, which indicates that Andre subtracted from the left side. On the other hand, Diego's first step was subtracting 2x from both sides to isolate x on the right, resulting in 6 = x - 8, suggesting that Diego subtracted from the right side. What they've both done is an essential algebraic principle, which is to perform the same operation on both sides of the equation to maintain its balance.
both Andre and Diego correctly applied algebraic methods to begin solving the equation, yet they approached the problem from different sides.