Solve for x 1/2x+1/4=x

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

Combine $\frac{1}{2}$ and $x$ .

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

Move all terms containing $x$ to the left side of the equation.

Subtract $x$ from both sides of the equation.

$\frac{x}{2} + \frac{1}{4} - x = 0$

To write $- x$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{x}{2} - x \cdot \frac{2}{2} + \frac{1}{4} = 0$

Combine $- x$ and $\frac{2}{2}$ .

$\frac{x}{2} + \frac{- x \cdot 2}{2} + \frac{1}{4} = 0$

Combine the numerators over the common denominator.

$\frac{x - x \cdot 2}{2} + \frac{1}{4} = 0$

Simplify each term.

Simplify the numerator.

Factor $x$ out of $x - x \cdot 2$ .

Raise $x$ to the power of $1$ .

$\frac{x^{1} - x \cdot 2}{2} + \frac{1}{4} = 0$

Factor $x$ out of $x^{1}$ .

$\frac{x \cdot 1 - x \cdot 2}{2} + \frac{1}{4} = 0$

Factor $x$ out of $- x \cdot 2$ .

$\frac{x \cdot 1 + x (- 1 \cdot 2)}{2} + \frac{1}{4} = 0$

Factor $x$ out of $x \cdot 1 + x (- 1 \cdot 2)$ .

$\frac{x (1 - 1 \cdot 2)}{2} + \frac{1}{4} = 0$

Multiply $- 1$ by $2$ .

$\frac{x (1 - 2)}{2} + \frac{1}{4} = 0$

Subtract $2$ from $1$ .

$\frac{x \cdot - 1}{2} + \frac{1}{4} = 0$

Move $- 1$ to the left of $x$ .

$\frac{- 1 \cdot x}{2} + \frac{1}{4} = 0$

Move the negative in front of the fraction.

$- \frac{x}{2} + \frac{1}{4} = 0$

Subtract $\frac{1}{4}$ from both sides of the equation.

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

Multiply both sides of the equation by $- 2$ .

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

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{x}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{x}{2}$ into the numerator.

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

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

$2 \cdot - 1 \frac{- x}{2} = - 2 (- \frac{1}{4})$

Rewrite the expression.

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

Multiply.

Multiply $- 1$ by $- 1$ .

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

Multiply $x$ by $1$ .

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

Simplify the right side.

Simplify $- 2 (- \frac{1}{4})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{4}$ into the numerator.

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

Factor $2$ out of $- 2$ .

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

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

Multiply $- - \frac{1}{2}$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $\frac{1}{2}$ by $1$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.5$

Solve for x 1/2x+1/4=x

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