Solve 3x+8/2x-1=3

$$\frac { 3 x + 8 } { 2 x - 1 } = 3$$

Solve for x

$$x = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$$

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.

$$3x+8=3\left(2x-1\right)$$

Use the distributive property to multiply 3 by 2x-1.

$$3x+8=6x-3$$

Subtract 6x from both sides.

$$3x+8-6x=-3$$

Combine 3x and -6x to get -3x.

$$-3x+8=-3$$

Subtract 8 from both sides.

$$-3x=-3-8$$

Subtract 8 from -3 to get -11.

$$-3x=-11$$

Divide both sides by -3.

$$x=\frac{-11}{-3}$$

Fraction \frac{-11}{-3} can be simplified to \frac{11}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{3}$$