Solve x+3/2x-1=2

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

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-1.

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

Use the distributive property to multiply 2 by 2x-1.

$$x+3=4x-2$$

Subtract 4x from both sides.

$$x+3-4x=-2$$

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

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

Subtract 3 from both sides.

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

Subtract 3 from -2 to get -5.

$$-3x=-5$$

Divide both sides by -3.

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

Fraction \frac{-5}{-3} can be simplified to \frac{5}{3} by removing the negative sign from both the numerator and the denominator.

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