Solve `(3x)/4=7+x/6`back slash indicates fraction...3x over 4=7 +x over 6

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lemjay | High School Teacher | (Level 3) Senior Educator

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  `(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 .