Question

solve. $\frac{9x}{10}+\frac{3}{5}=\frac{4x}{5}$

Explanation:

Step1: Find common denominator

The common denominator of 10, 5, and 5 is 10. Multiply each term by 10 to eliminate fractions:
$$10 \times \frac{9x}{10} + 10 \times \frac{3}{5} = 10 \times \frac{4x}{5}$$

Step2: Simplify each term

$$9x + 6 = 8x$$

Step3: Isolate x terms

Subtract $8x$ from both sides:
$$9x - 8x + 6 = 0$$
$$x + 6 = 0$$

Step4: Solve for x

Subtract 6 from both sides:
$$x = -6$$

Answer:

$x = -6$