Solve the following equation and check your results: $3 x = 2 x + 18$

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Solution

Step 1: Solve the given equation by Rearranging and combining the like terms.
$\begin{array}{l} 3 x = 2 x + 18 \\ \Rightarrow 3 x - 2 x = 18 \\ \Rightarrow x = 18 \end{array}$
Step 2: Verify the result by substituting $x = 18$ in the given equation.
$\begin{array}{l} 3 \times 18 = 2 \times 18 + 18 \\ \Rightarrow 54 = 36 + 18 \\ \Rightarrow 54 = 54 \\ \Rightarrow LHS = RHS \end{array}$
Hence, the solution of $3 x = 2 x + 18$ is $x = 18$ and it is verified.

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