Question

question 1

1. if \\(\frac{2x - 1}{3} = -4x\\), then \\(x = ?\\)

a \\(\frac{1}{3}\\)
b \\(\frac{1}{10}\\)
c \\(\frac{1}{14}\\)
d \\(\frac{1}{24}\\)

Explanation:

Step1: Eliminate the denominator

Multiply both sides of the equation $\frac{2x - 1}{3}=-4x$ by 3 to get rid of the denominator. So we have $3\times\frac{2x - 1}{3}=3\times(-4x)$, which simplifies to $2x - 1=-12x$.

Step2: Move the terms with x to one side

Add $12x$ to both sides of the equation $2x - 1=-12x$. We get $2x+12x - 1=-12x + 12x$, that is $14x-1 = 0$. Then add 1 to both sides: $14x-1 + 1=0 + 1$, so $14x=1$.

Step3: Solve for x

Divide both sides of the equation $14x = 1$ by 14. We have $x=\frac{1}{14}$.

Answer:

C. $\frac{1}{14}$