Question

Solve the equation. If necessary


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

Exact form: x=19/9

decimal form: x=2.1r

Mixed number form: x=2 1/9

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer 2

x =
`(19)/(9)`

Explanation:

First, make all the different parts into fractions with a common denominator, so that you can add and subtract them easily. In this case, the common denominator is four.

Doing this, you get
`(3)/(4) x + (8)/(4) x = -(1)/(4) + (2)/(4) x + (20)/(4)`

Isolate all the variables to get
`(3)/(4) x + (8)/(4) x - (2)/(4) x = -(1)/(4) +(20)/(4)`

Then, combine like terms
`(9)/(4) x = (19)/(4)`

Multiply both sides by 4 to get 9x=19

Divide both sides by 9, and you get
`x= (19)/(9)`

Hope this helps! :)