Question

1/3*(5х-4)+(1/2*х-1/3)-(1/2-х)=3х-2

Answer 1

1/3*(5x-4)+(1/2x-1/3)-(1/2-x)=3x-2
5/3x-4/3+1/2x-1/3-1/2+x=3x-2
5/3x+1/3x+x-3x=4/3+1/3+1/3-2
10/6x+3/6x+6/6x+18/6x=8/6+2/6+3/6-12/6
37/6x=1/6
1 37 1 6
x= — : — = — * —
6 6 6 37
1
x= —
37
надеюсь правильно

Answer 2

To simplify the given expression:

1/3*(5x - 4) + (1/2*x - 1/3) - (1/2 - x) = 3x - 2

Let's simplify each term step by step:

1/3 * (5x - 4) = (5x - 4)/3

1/2 * x = x/2

-1/3 can be written as -1/3 * 1 = -1/3

-1/2 * -x = x/2

Now let's substitute these simplified terms back into the original expression:

(5x - 4)/3 + x/2 - 1/3 - x/2 = 3x - 2

Now let's simplify further:

Combine like terms:

(5x/3 + x/2 - x/2) + (-4/3 - 1/3) = 3x - 2

The x/2 and -x/2 terms cancel each other out, so we're left with:

5x/3 + (-4/3) = 3x - 2

Combine the constant terms:

5x/3 - 4/3 = 3x - 2

Now let's get rid of the fractions by multiplying through by the common denominator of 3:

3 * (5x/3) - 3 * (4/3) = 3 * (3x) - 3 * 2

Simplifying:

5x - 4 = 9x - 6

Now, let's isolate the x term:

5x - 9x = -6 + 4

-4x = -2

Divide both sides by -4 to solve for x:

x = (-2)/(-4)

Simplifying further:

x = 1/2

So the solution to the equation is x = 1/2.