**x = 24**

I need to know how to solve it and the answer. this includes the equation(s) with the variable

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(2x/3) - 10 = (x/4)

Multiply by 3:

2x - 30 = (3x/4)

Multiply by 4:

8x - 120 = 3x

x(8-3) = 120

5x = 120

I could be wrong, but if the number is x, then my best guesstimate would be...

x(2/3)-10=x(1/4)

Solve for x either as a fraction or a decimal.

Divide by x on both sides...

(2/3)-(10/x)=(1/4)

(-10/x)=(1/4)-(2/3)

(-10/x)=-0.4167

Divide both sides by -10...

(1/x)=0.04167

Take the inverse of both sides...

x=(1/0.04167)

x=24

Check your answer by substituting 24 for x in the original equation...

24(2/3)-10=24(1/4)

(8)(2)-10=(6)(1)

16-10=6, or...

6=6, TRUE

Therefore, x=24.

Make sense?

let x= the number

(2/3)x-10=(1/4)x

(2/3)x-(1/4)x=10

(8/12)x-(3/12)x=10

(5/12)x=10

(12/5)(5/12)x=(12/5)(10)

x=120/5

x=24

check: (2/3)(24)-10=(1/4)(24)

16-10=6

6=6

Hi Izzy;

[(2/3)x]-10=(1/4)(x)

Let's eliminate the fractions.

The denominators are 3 and 4.

(3)(4)=12

Let's multiply both sides by 12...

12{[(2/3)x]-10}=(1/4)(x)(12)

8x-120=3x

Let's subtract 8x from both sides...

-8x+8x-120=3x-8x

-120=-5x

Let's divide both sides by -5...

-120/-5=(-5x)/-5

24=x

Let's check our results...

[(2/3)x]-10=(1/4)(x)

[(2/3)(24)]-10=(1/4)(24)

16-10=6

6=6

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