Final answer:
In solving equations with fraction coefficients, distribute the variable, set the equation to zero, and solve. Additional steps to handle fractions may be required. The core concept is understanding how to balance equations and isolate variables.
Step-by-step explanation:
The subject of this question is Mathematics, specifically working with equations and fraction coefficients. To solve (3x+2)/(4)+1=(5x+10)/(8) x, follow these steps:
- First, distribute the x to the right side of the equation: (3x + 2)/4 + 1 = 5x2 + 10x/8.
- Then, subtract (3x + 2)/4 from both sides to set the equation to zero: 5x2 + 10x - (3x + 2)/4 - 1 = 0.
- Finally, simplify the equation and solve for x using either factoring, the quadratic formula, or completing the square, depending on its solvability.
Equations with fraction coefficients may require additional steps than those with only integer coefficients because you must deal with the fractions. The learning point is to consider how to isolate x, balance equations, and apply the rules of mathematics to solve complex problems.
Learn more about Fraction Coefficients