Question

Solve for x.


−2(x+1/4)+1=5​

Answer 1

`\boxed {x = - (9)/(4)}`

Explanation:

Solve for the value of
`x` :

`-2(x + (1)/(4)) + 1 = 5`

-Use Distributive Property:

`-2(x + (1)/(4)) + 1 = 5`

`-2x + (-2)/(4) + 1 = 5`

-Reduce the fraction
`(-2)/(4)` to the lowest terms by canceling out
`2` :

`-2x + (-2)/(4) + 1 = 5`

`-2x - (1)/(2) + 1 = 5`

- Convert the integer
`1` to
`(2)/(2)` :

`-2x - (1)/(2) + 1 = 5`

`-2x - (1)/(2) + (2)/(2) = 5`

-Since both fractions
`-(1)/(2)` and
`(2)/(2)` have the same denominator, you add the numerators together:

`-2x - (1)/(2) + (2)/(2) = 5`

`-2x + (1)/(2) = 5`

-Change the integer
`5` to
`(10)/(2)` and subtract
`(1)/(2)` on both sides. Then, when both fractions have the same denominator, you subtract them, by subtracting the numerators:

`-2x + (1)/(2) - (1)/(2) = (10)/(2) - (1)/(2)`

`-2x = (9)/(2)`

-Divide by Multiplying
`2` and
`-2` :

`(-2x)/(-2) = (9)/(2 (-2))`

`x = (9)/(-4)`

-Rewrite the answer:

`x = (9)/(-4)`

`\boxed {x = - (9)/(4)}`

Answer 2

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