Question

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

Answer 1

Hello Friend,

После того как переписал пример пишем:

$\frac{1}{3}x-\frac{1}{4}=4x-1\\4x-3=48x-12\\ 4x-48x=-12+3\\ -44x=-9 x=\frac{9}{44} => x=0.2$

Answer 2

To solve the equation, let's simplify and solve step by step:

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

Let's simplify the left side of the equation first:

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

To simplify the expression inside the parentheses, we need to find a common denominator for 3 and 4, which is 12:

1/2(4/12x - 3/12) = 2x - 1

Now, we can distribute 1/2 to each term inside the parentheses:

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

Next, let's combine the fractions on the left side:

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

To eliminate the fraction, we can multiply both sides of the equation by 24:

24 * (4x - 3)/24 = 24 * (2x - 1)

4x - 3 = 48x - 24

Now, let's isolate the variable terms on one side and the constant terms on the other side:

4x - 48x = -24 + 3

-44x = -21

Finally, divide both sides by -44 to solve for x:

x = (-21)/(-44)

x ≈ 0.4773

Therefore, the solution to the equation is x ≈ 0.4773.