Question

Find x in the equation. 2 times x plus one fourth equals one fourth times x plus 2

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Answer 1

x = 1

Explanation

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

1. subtract (1/4)x from both sides

`(7)/(4)x + (1)/(4) = 2`

2. subtract 1/4 from both sides

`(7)/(4)x = (7)/(4)`

3. multiply both sides by the reciprocal of x's coefficient

The reciprocal of
`\frac{\bold{7}}{\bold{4}}` is
`\frac{\bold{4}}{\bold{7}}`.

`\left((\\ot4)/(\\ot7)\right)\left((\\ot7)/(\\ot4)x\right) = \left((\\ot7)/(\\ot4)\right)\left((\\ot4)/(\\ot7)\right)`

`\boxed{x = 1}`