Question

7 − 5x = 5 − 7x

Answer 1

$\begin{array}{l}\text{We have:}\\ 7-5x=5-7x\\ \\ \Rightarrow -5x+7x=5-7\left[\text{transposing -7}x\text{to LHS and 7 to RHS}\right]\\ \Rightarrow 2x=-2\\ \Rightarrow x=\frac{-{\sout{2}}^{-1}}{{\sout{2}}^1}\\ \Rightarrow x=-1\\ \text{Thus,}x\text{=}-\text{1 is a solution to the given equation.}\\ \text{CHECK: Substituting}x\text{=}-\text{1 in the given equation, we get:}\\ \text{LHS:}\text{= 7}-5x\\ \text{= 7}-5\times (-1)\\ =7+5\\ =12\\ \text{RHS:}\\ \text{= 5}-7\text{x}\\ \text{=5}-7\times (-1)\\ \text{= 5 + 7}\\ \text{=12}\\ \therefore \text{LHS = RHS}\\ \text{Hence,}x\text{=}-1\text{is a solution of the given equation.}\\ \end{array}$