Solve the following equation and check your results: $8 x + 4 = 3 (x - 1) + 7$

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Solution

Step 1 :
Solve the given equation by Rearranging and combining the like terms:
$\begin{matrix} 8 x + 4 = 3 (x - 1) + 7 \\ \Rightarrow 8 x + 4 = 3 x - 3 + 7 \\ \Rightarrow 8 x - 3 x = - 3 + 7 - 4 \\ \Rightarrow 5 x = 0 \\ \Rightarrow x = 0 \end{matrix}$
Step 2. Verification :
Verify the result by substituting $x = 0$ in the given equation:
$\begin{array}{rcl} \begin{array}{l} LHS = 8 \times 0 + 4 \\ = 4 \end{array} \\ And, \\ \begin{matrix} RHS = 3 (x - 1) + 7 \\ = 3 (0 - 1) + 7 \\ = 3 (- 1) + 7 \\ = 4 \end{matrix} \end{array}$
Hence, the solution of $8 x + 4 = 3 (x - 1) + 7$ is $x = 0$ and it is verified.

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