Solve the following equation and check your results: $5 x + 9 = 5 + 3 x$

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Solution

Step 1: Solve the given equation by Rearranging and combining the like terms.
$\begin{array}{l} 5 x + 9 = 5 + 3 x \\ \Rightarrow 5 x - 3 x = 5 - 9 \\ \Rightarrow 2 x = - 4 \\ \Rightarrow x = \frac{- 4}{2} \\ \Rightarrow x = - 2 \end{array}$
Step 2: Verify the result by substituting $x = - 2$ in the given equation.
$\begin{array}{l} 5 \times (- 2) + 9 = 5 + 3 (- 2) \\ \Rightarrow - 10 + 9 = 5 - 6 \\ \Rightarrow - 1 = - 1 \\ \Rightarrow LHS = RHS \end{array}$
Hence the solution of $5 x + 9 = 5 + 3 x$ is $x = - 2$ and it is verified.

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