Question

8x/10x-2 equals 5x+3/7x solve for x

Answer 1

Answer:

x = $\frac{1}{3}$ & 3

Step-by-step explanation:

$\frac{8x}{10x-2}$ = $\frac{5x+3}{7x}$

Cross multiply:

$\frac{8x}{10x-2}$ = $\frac{5x+3}{7x}$   ⇒   (8x)(7x) = (5x+3)(10x-2)

Simplify both sides:

(8x)(7x) = (5x+3)(10x-2)   ⇒   56x² = 50x²+20x-6

Set equation equal to 0:

56x² = 50x²+20x-6   ⇒   0 = -6x²+20x-6

Factor the trinomial:

0 = -6x²+20x-6 = (-6x+2)(x-3)

Solve for X:

-6x+2 = 0

-6x = -2

x = $\frac{1}{3}$;

x-3 = 0

x = 3;

x = $\frac{1}{3}$, 3