Question

Find and correct the errors in the following mathematical statements: $4(x-5)=4x-5$

Answer 1

Find and correct errors in the given statement:

An equation is a mathematical expression of equality between two algebraic expressions that have equal values.

Given, $4(x-5)=4x-5$

On solving L.H.S, we get,

$$\begin{gathered} =4(x-5) \\ =4x-4\left(5\right) \\ =4x-20 \end{gathered}$$

But, it is given that R.H.S $=4x-5$

Thus, L.H .S.$\ne$ R.H.S.

So, for correct statement we need to replace $-5\text{with}-20$ in RHS

Hence, the correct statement is $\mathbf{4}\mathbf{(}\mathit{x}\mathbf{}\mathbf{-}\mathbf{}\mathbf{5}\mathbf{)}\mathbf{}\mathbf{=}\mathbf{}\mathbf{4}\mathit{x}\mathbf{}\mathbf{-}\mathbf{}\mathbf{20}$.