Solve each linear equation. See Examples 1–3. 0.2x - 0.5 = 0.1x + 7

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Start by writing down the given equation: $0.2x - 0.5 = 0.1x + 7$.

To isolate the variable terms on one side, subtract \$0.1x$ from both sides: $0.2x - 0.1x - 0.5 = 7$.

Simplify the left side by combining like terms: $(0.2 - 0.1)x - 0.5 = 7$ which becomes $0.1x - 0.5 = 7$.

Next, add $0.5$ to both sides to move the constant term: $0.1x = 7 + 0.5$.

Finally, divide both sides by $0.1$ to solve for $x$: $x = \frac{7 + 0.5}{0.1}$.

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