[tex] \frac{1}{2} [/tex] - [tex] \frac{5}{8} x[/tex] = [tex] \frac{7}{8} x[/tex] + [tex] \frac{7}{2} [/tex] equals x = -2.
First, simplify [tex] \frac{5}{8} x[/tex] to [tex] \frac{5x}{8} [/tex], and the same for [tex] \frac{7}{8} x[/tex] to [tex] \frac{7x}{8} [/tex]. Your problem should look like: [tex] \frac{1}{2} [/tex] - [tex] \frac{5x}{8} [/tex] = [tex] \frac{7x}{8} [/tex] + [tex] \frac{7}{2} [/tex].
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 = [tex] \frac{24}{-12} [/tex]
Eighth, simplify [tex] \frac{24}{-12} [/tex] to [tex]- \frac{24}{12} [/tex]
Lastly, simplify [tex] \frac{24}{12} [/tex] to get 2. Your problem should look like: x = -2, which is your answer.
