Solve 1/1-2x=4

$$\frac { 1 } { 1 - 2 x } = 4$$

Solve for x

$$x=\frac{3}{8}=0.375$$

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.

$$1=4\left(-2x+1\right)$$

Use the distributive property to multiply 4 by -2x+1.

$$1=-8x+4$$

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

$$-8x+4=1$$

Subtract 4 from both sides.

$$-8x=1-4$$

Subtract 4 from 1 to get -3.

$$-8x=-3$$

Divide both sides by -8.

$$x=\frac{-3}{-8}$$

Fraction \frac{-3}{-8} can be simplified to \frac{3}{8} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{8}$$