Solve x-3/2x-5=2

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

Solve for x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-5.

$$x-3=2\left(2x-5\right)$$

Use the distributive property to multiply 2 by 2x-5.

$$x-3=4x-10$$

Subtract 4x from both sides.

$$x-3-4x=-10$$

Combine x and -4x to get -3x.

$$-3x-3=-10$$

Add 3 to both sides.

$$-3x=-10+3$$

Add -10 and 3 to get -7.

$$-3x=-7$$

Divide both sides by -3.

$$x=\frac{-7}{-3}$$

Fraction \frac{-7}{-3} can be simplified to \frac{7}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{3}$$