Solve. \[ \frac{7}{8} \mathrm{x}-\frac{1}{4}+\frac{1}{2} \mathrm{x}=\frac{1}{4}+\mathrm{x} \] What is the best first step? A. Divide both șides of the equation by 8 . B. Multiply both sides of the equation by 4 C. Multiply both sides of the equation by 8 . D. Add x on both sides of the equation.
Solución de inteligencia artificial de Upstudy
Responder
Solución
Respondido por UpStudy AI y revisado por un tutor profesional


The Deep Dive
To solve the equation \( \frac{7}{8} x - \frac{1}{4} + \frac{1}{2} x = \frac{1}{4} + x \), the best first step is to eliminate the fractions for easier manipulation. So, you can multiply both sides of the equation by 8 (Option C) to clear the denominators. This will make the equation much simpler to solve! By multiplying by 8, you’ll turn the fractions into whole numbers. This can help avoid common mistakes with fraction arithmetic and keep the solving process straightforward. Once the fractions are cleared, you can collect like terms and solve for \( x \) more easily!
