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Question:

Find and correct errors of the following mathematical expressions: 4(x+5) = 4x+5

Solution:

Let us simplify the LHS first,
LHS = 4(x+5) = 4 × x + 4 × 5 = 4x + 20
And, RHS = 4x + 5
So, we can conclude that, LHS ≠ RHS
Here error is that the distributive property of multiplication has not been followed due to which 4 has been multiplied with x only not with 5.