Question

2/3(1/3x-1/2)=-4x+2,1/2

Answer 1

Пошаговое объяснение:

2/3(1/3x-1/2)=-4x+2,1/2

2/9x-1/3=-4x+1,05

2/9x-1/3=-4x+21/20

40x-60=-720x+189

40x+720x=189+60

760x=249

x=249/760

Answer 2

It looks like you've provided an equation with a variable $x$. You want to solve for $x$ in the equation:

$\frac{2}{3}\left(\frac{1}{3}x - \frac{1}{2}\right) = -4x + 2 - \frac{1}{2}$.

Let's solve this step by step:

First, distribute $\frac{2}{3}$ to both terms inside the parentheses:

$\frac{2}{3} \cdot \frac{1}{3}x - \frac{2}{3} \cdot \frac{1}{2} = -4x + 2 - \frac{1}{2}$.

Simplify each term:

$\frac{2}{9}x - \frac{1}{3} = -4x + \frac{3}{2}$.

Now, let's isolate the terms with $x$ on one side of the equation. Add $\frac{1}{3}$ to both sides to move the constant term involving $x$ to the right side:

$\frac{2}{9}x = -4x + \frac{3}{2} + \frac{1}{3}$.

Combine the constant terms on the right side:

$\frac{2}{9}x = -4x + \frac{7}{6}$.

Now, let's get rid of fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is $18$ (the LCM of $9$ and $6$):

$18 \cdot \frac{2}{9}x = 18 \cdot (-4x) + 18 \cdot \frac{7}{6}$.

Simplify each term:

$4x = -72x + 21$.

Add $72x$ to both sides:

$4x + 72x = 21$.

Combine the $x$ terms:

$76x = 21$.

Finally, solve for $x$ by dividing both sides by $76$:

$x = \frac{21}{76}$.

So, the solution for the equation is $x = \frac{21}{76}$.