Solve x-1/3/-2=x-2/4/-3

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

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of -2,-3.

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

Use the distributive property to multiply -3 by x-\frac{1}{3}.

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

Multiply -3 times -\frac{1}{3}.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Use the distributive property to multiply -2 by x-\frac{1}{2}.

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

Multiply -2 times -\frac{1}{2}.

$$-3x+1=-2x+1$$

Add 2x to both sides.

$$-3x+1+2x=1$$

Combine -3x and 2x to get -x.

$$-x+1=1$$

Subtract 1 from both sides.

$$-x=1-1$$

Subtract 1 from 1 to get 0.

$$-x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, x must be equal to 0.

$$x=0$$