Solve 2x+1-2x/3left(2^2x+1right)-4left(2x+1right)=1

$$\frac{ 2x+1-2x }{ 3 \left( { 2 }^{ } 2x+1 \right) -4 \left( 2x+1 \right) } = 1$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 4x-1.

$$2x+1-2x=4x-1$$

Combine 2x and -2x to get 0.

$$1=4x-1$$

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

$$4x-1=1$$

Add 1 to both sides.

$$4x=1+1$$

Add 1 and 1 to get 2.

$$4x=2$$

Divide both sides by 4.

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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