\(\frac{1}{2}\) - \(\frac{5}{8} x\) = \(\frac{7}{8} x\) + \(\frac{7}{2}\) equals x = -2.
First, simplify \(\frac{5}{8} x\) to \(\frac{5x}{8}\), and the same for \(\frac{7}{8} x\) to \(\frac{7x}{8}\). Your problem should look like: \(\frac{1}{2}\) - \(\frac{5x}{8}\) = \(\frac{7x}{8}\) + \(\frac{7}{2}\).
Second, multiply both sides by 8. Your problem should look like: 4 - 5x = 7x + 28.
Third, subtract 4 from both sides. Your problem should look like: -5x = 7x + 28 - 4.
Fourth, simplify 7x + 28 - 4 to get 7x + 24. Your problem should look like: -5x = 7x + 24.
Fifth, subtract 7x from both sides. Your problem should look like: -5x - 7x = 24.
Sixth, simplify -5x - 7x to -12x. Your problem should look like: -12x = 24.
Seventh, divide both sides by -12. Your problem should look like: x = \(\frac{24}{-12}\)
Eighth, simplify \(\frac{24}{-12}\) to \(- \frac{24}{12}\)
Lastly, simplify \(\frac{24}{12}\) to get 2. Your problem should look like: x = -2, which is your answer.
