Question

1/3х+1 1/2=1 2/3х+2 1/6

Answer 1

1/3 х+1 1/2=1 2/3х +2 1/6
1 2/3х - 1/3 х=1 1/2 - 2 1/6
1 1/3 х=1 3/6 - 2 1/6
4/3 х= - 2/3
х= - 2/3 :4/3
х= - 2/3 * 3/4
х= - 1/2

Answer 2

To solve the equation for $x$:

$\frac{1}{3}x + \frac{1}{2} = \frac{1}{2}x + \frac{2}{6}$

Step 1: Let's get rid of the fractions by finding a common denominator, which is 6. Multiply both sides of the equation by 6:

$6 \cdot \left(\frac{1}{3}x + \frac{1}{2}\right) = 6 \cdot \left(\frac{1}{2}x + \frac{2}{6}\right)$

$2x + 3 = 3x + 2$

Step 2: Subtract $2x$ from both sides of the equation:

$2x - 2x + 3 = 3x - 2x + 2$

$3 = x + 2$

Step 3: Subtract 2 from both sides of the equation to solve for $x$:

$3 - 2 = x + 2 - 2$

$1 = x$

So, the solution to the equation is $x = 1$.