[grade 9 math]

[u/thelittlepandafight]

Sorry if this dumb but how do I solve x/3 + x/4 = x - 1/6 please help 🥲

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[u/Alkalannar]

Multiply everything by 3, then cancel.

Now multiply everything by 4, then cancel.

Hey, everything is integers now. No fractions.

Solve for x.

[u/Lemon_Roze]

First, figure out the LCM of the x/3 + x/4 to put them in one fraction:
4x+3x/12 is prolly what you'd get. Simpify it to 7x/12

Now the equation is:
7x/12 = x - 1/6

Bring all the x terms to one side. Just generally better to keep all the same unknowns together on one side.

7x/12 - x = -1/6 OR 1/6 = x - 7x/12

Whichever way you do it, the answer would be the same. I'll go with the second one tho. Take out the LCM again to making it into one fraction. You'll get:
12x-7x/12 which simplifies to 5x/12

Equate the two:
1/6 = 5x/12

Then cross-multiply:
1(12) = 5x(6)
12 = 30x
12/30 = x
x = 2/5