Solve 2x-1/x+2=5

$$\frac{ 2x-1 }{ x+2 } =5$$

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 -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$2x-1=5\left(x+2\right)$$

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

$$2x-1=5x+10$$

Subtract 5x from both sides.

$$2x-1-5x=10$$

Combine 2x and -5x to get -3x.

$$-3x-1=10$$

Add 1 to both sides.

$$-3x=10+1$$

Add 10 and 1 to get 11.

$$-3x=11$$

Divide both sides by -3.

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

Fraction \frac{11}{-3} can be rewritten as -\frac{11}{3} by extracting the negative sign.

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