Question

Solve for x. −2(x+1/4)+1=5​

Answer 1

Answer: The answer to this is x= -9/4

Answer 2

Answer:

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

Step-by-step explanation:

Solve for the value of $x$ :

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

-Use Distributive Property:

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

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

-Reduce the fraction $\frac{-2}{4}$ to the lowest terms by canceling out $2$ :

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

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

- Convert the integer $1$ to $\frac{2}{2}$ :

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

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

-Since both fractions $-\frac{1}{2}$ and $\frac{2}{2}$ have the same denominator, you add the numerators together:

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

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

-Change the integer $5$ to $\frac{10}{2}$ and subtract $\frac{1}{2}$ on both sides. Then, when both fractions have the same denominator, you subtract them, by subtracting the numerators:

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

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

-Divide by Multiplying $2$ and $-2$ :

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

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

-Rewrite the answer:

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

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