Solve x-5/3=x-2

$$\frac { x - 5 } { 3 } = x - 2$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$x-5=3x-6$$

Subtract 3x from both sides.

$$x-5-3x=-6$$

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

$$-2x-5=-6$$

Add 5 to both sides.

$$-2x=-6+5$$

Add -6 and 5 to get -1.

$$-2x=-1$$

Divide both sides by -2.

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

Fraction \frac{-1}{-2} can be simplified to \frac{1}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{2}$$