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Solve the equation. If necessary

[tex] \frac{3}{4}x + 2x = - \frac{1}{4} + \frac{1}{2}x + 5[/tex]

Respuesta :

Answer:

Exact form: x=19/9

decimal form: x=2.1r

Mixed number form: x=2 1/9

Step-by-step explanation:

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

Answer:

x = [tex]\frac{19}{9}[/tex]

Step-by-step 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  [tex]\frac{3}{4} x + \frac{8}{4} x = -\frac{1}{4} + \frac{2}{4} x + \frac{20}{4}[/tex]

Isolate all the variables to get [tex]\frac{3}{4} x + \frac{8}{4} x - \frac{2}{4} x = -\frac{1}{4} +\frac{20}{4}[/tex]

Then, combine like terms [tex]\frac{9}{4} x = \frac{19}{4}[/tex]

Multiply both sides by 4 to get 9x=19

Divide both sides by 9, and you get [tex]x= \frac{19}{9}[/tex]

Hope this helps! :)