Solve `(3x)/4=7+x/6`

back slash indicates fraction...3x over 4=7 +x over 6

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3x/4 = 7 + x/6

3x/4 -x/6 = 7

9x/12 - 2x/12 = 7

7x/12 = 7

7x = (7).(12)

7x = 84

x = 84/7

x = 12

`(3x)/4 = 7 + x/6`

To simplify, multiply both sides by the LCD of the two fractions `(3x)/4` and `x/6` . Note that the LCD is 12.

`12 * ((3x)/4) = (7 + x/6) * 12`

`9x = 84 + 2x`

Then, bring together the terms with x by subtracting both sides by 2x.

`9x - 2x = 84 + 2x -2x`

`7x = 8 4`

Divide both sides by 7, to isolate x.

`(7x)/7 = 84/7`

`x = 12`

**The solution is x=12 . **

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