Subjects algebra

Solve Linear Equation 9785B8

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Question: Solve. (If there is no solution, write no solution. Write your answers in the form of a comma-separated list.) $16x-5=8x$
1. **State the problem:** Solve the equation $$16x - 5 = 8x$$ for $x$. 2. **Isolate the variable terms:** Subtract $8x$ from both sides to get all $x$ terms on one side: $$16x - 8x - 5 = 8x - 8x$$ 3. **Simplify:** $$8x - 5 = 0$$ 4. **Isolate $x$:** Add $5$ to both sides: $$8x - 5 + 5 = 0 + 5$$ $$8x = 5$$ 5. **Solve for $x$ by dividing both sides by $8$:** $$\cancel{8}x = \frac{5}{\cancel{8}}$$ $$x = \frac{5}{8}$$ 6. **Final answer:** $$x = \frac{5}{8}$$