Solve 1/2=2x-4

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

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

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

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

Add 4 to both sides.

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

Convert 4 to fraction \frac{8}{2}.

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

Since \frac{1}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 8 to get 9.

$$2x=\frac{9}{2}$$

Divide both sides by 2.

$$x=\frac{\frac{9}{2}}{2}$$

Express \frac{\frac{9}{2}}{2} as a single fraction.

$$x=\frac{9}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$x=\frac{9}{4}$$