Solve 2/2*x-1=-5-1/2x-1

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

Solve for x

$$x=\frac{1}{5}=0.2$$

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.

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

Use the distributive property to multiply 2x-1 by -5.

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

Subtract 1 from 5 to get 4.

$$2=-10x+4$$

Swap sides so that all variable terms are on the left hand side.

$$-10x+4=2$$

Subtract 4 from both sides.

$$-10x=2-4$$

Subtract 4 from 2 to get -2.

$$-10x=-2$$

Divide both sides by -10.

$$x=\frac{-2}{-10}$$

Reduce the fraction \frac{-2}{-10} to lowest terms by extracting and canceling out -2.

$$x=\frac{1}{5}$$