The Error that fred made between step 1 and Step 2 in solving the equation is that;
He did not consider the negative sign in front of 42 before adding it to 4 but instead he used a positive sign before 42.
- The given equation is; 8(3x - 7) = -6(x + 7) + 4
Using distributive property for the terms in brackets whereby a number outside the bracket is distributed to the numbers inside the bracket.
Carrying out the distributive property on the given equation, we have;
Step 1; (8 * 3x) - (8 * 7) = -6x + (-6 * 7) + 4
24x - 56 = -6x - 42 + 4
- Now, we will have to simplify further by adding similar terms on both sides of the equation gotten in Step 1 to get;
Step 2; 24x - 56 = -6x - 38
- But in the question, instead of -38 on the right hand side, we have +46. This error is clearly from the fact that he did not consider the negative sign in front of 42 in step 1 before adding it to 4 to get step 2. Instead he took the sign in front of 42 to be a positive sign.
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