Solve the equation.
$\frac{2x+4}{x-1}=5$

• A. $x=3$
• B. $x=3$
• C. $x=5$
• D. No solution

Answer: (A)

Verified step by step guidance

1. Start with the given equation: \(\frac{2x+4}{x-1} = 5\).
2. To eliminate the fraction, multiply both sides of the equation by the denominator \((x-1)\), giving: \((2x + 4) = 5(x - 1)\).
3. Next, apply the distributive property on the right side: \(2x + 4 = 5x - 5\).
4. Now, collect all terms involving \(x\) on one side and constants on the other side. For example, subtract \$2x$ from both sides and add \(5\) to both sides: \(4 + 5 = 5x - 2x\).
5. Simplify both sides to get an equation in the form \(9 = 3x\), then solve for \(x\) by dividing both sides by 3.