Solve the following equation: $2 x + 3 = 4 + x$

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Solution

Solve linear equations in one variable.
Step 1: Transpose $3$ to RHS of the equation.
$\begin{array}{rcl} 2 x + 3 & = & 4 + x \\ \Rightarrow & 2 x = 4 + x - 3 \\ \Rightarrow & 2 x = x + 4 - 3 \\ \Rightarrow & 2 x = x + 1 \end{array}$
Step 2: Subtract $x$ from both sides.
$\begin{array}{rcl} 2 x - x & = & x + 1 - x \\ \Rightarrow & x = 1 \end{array}$
Hence, the solution of the equation $2 x + 3 = 4 + x$ is $x = 1$ .

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