Solve and check each linear equation. 2x - 7 = 6 + x

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Start with the given linear equation: $2x - 7 = 6 + x$.

Isolate the variable terms on one side by subtracting $x$ from both sides: $2x - x - 7 = 6 + x - x$, which simplifies to $x - 7 = 6$.

Next, isolate the variable term by adding 7 to both sides: $x - 7 + 7 = 6 + 7$, which simplifies to $x = 13$.

The solution to the equation is $x = 13$.

Check the solution by substituting $x = 13$ back into the original equation: verify that $2(13) - 7$ equals $6 + 13$.

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