Subjects algebra

Linear Equations E123A4

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1. **Solve the equation** $-28 = 7 + x$. 2. To isolate $x$, subtract 7 from both sides: $$-28 - 7 = 7 + x - 7$$ 3. Simplify both sides: $$-\cancel{28} - 7 = \cancel{7} + x - 7 \implies -35 = x$$ 4. So, the solution is $x = -35$. 5. **Solve the equation** $x - \frac{5}{8} = \frac{1}{4}$. 6. To isolate $x$, add $\frac{5}{8}$ to both sides: $$x - \frac{5}{8} + \frac{5}{8} = \frac{1}{4} + \frac{5}{8}$$ 7. Simplify the left side and find a common denominator on the right side: $$x = \frac{1}{4} + \frac{5}{8} = \frac{2}{8} + \frac{5}{8} = \frac{7}{8}$$ 8. So, the solution is $x = \frac{7}{8}$. **Final answers:** - For question 2: $x = -35$ (Option D) - For question 3: $x = \frac{7}{8}$ (Option C)