Solve for x -2(x+1/4)+1=5

$- 2 (x + \frac{1}{4}) + 1 = 5$

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

Simplify each term.

Apply the distributive property.

$- 2 x - 2 (\frac{1}{4}) + 1 = 5$

Cancel the common factor of $2$ .

Factor $2$ out of $- 2$ .

$- 2 x + 2 (- 1) \frac{1}{4} + 1 = 5$

Factor $2$ out of $4$ .

$- 2 x + 2 \cdot - 1 \frac{1}{2 \cdot 2} + 1 = 5$

Cancel the common factor.

$- 2 x + 2 \cdot - 1 \frac{1}{2 \cdot 2} + 1 = 5$

Rewrite the expression.

$- 2 x - 1 (\frac{1}{2}) + 1 = 5$

Rewrite $- 1 (\frac{1}{2})$ as $- (\frac{1}{2})$ .

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

Simplify the expression.

Write $1$ as a fraction with a common denominator.

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

Combine the numerators over the common denominator.

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

Add $- 1$ and $2$ .

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

Move all terms not containing $x$ to the right side of the equation.

Subtract $\frac{1}{2}$ from both sides of the equation.

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

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Combine $5$ and $\frac{2}{2}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $5$ by $2$ .

$- 2 x = \frac{10 - 1}{2}$

Subtract $1$ from $10$ .

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

Divide each term in $- 2 x = \frac{9}{2}$ by $- 2$ and simplify.

Divide each term in $- 2 x = \frac{9}{2}$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{9}{2} \cdot \frac{1}{- 2}$

Move the negative in front of the fraction.

$x = \frac{9}{2} (- \frac{1}{2})$

Multiply $\frac{9}{2} (- \frac{1}{2})$ .

Multiply $\frac{9}{2}$ by $\frac{1}{2}$ .

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

Multiply $2$ by $2$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 2.25$

Mixed Number Form:

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

Solve for x -2(x+1/4)+1=5

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