Question

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

Answer 1

1/6х-1/8=2х-3/2

1/6х-2х=1/8-3/2

-1 5/6х=1/8-12/8

-11/6х=-11/8

Х=-11/8:(-11/6)=-11/8*(-6/11)

Х=6/8=3/4

Answer 2

Let's solve the equation step by step. To begin, we'll simplify the left-hand side of the equation:

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

Step 1: Distribute the 1/2 to the terms inside the parentheses: (1/2) * (1/3x) - (1/2) * (1/4) = 2x - 1 1/2

Step 2: Simplify the expressions inside the parentheses: 1/6x - 1/8 = 2x - 1 1/2

Next, let's get rid of the fractions by multiplying the entire equation by 24 (the least common multiple of 6 and 8) to eliminate the denominators:

24 * (1/6x) - 24 * (1/8) = 24 * (2x) - 24 * (1 1/2)

This simplifies to: 4x - 3 = 48x - 36

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

4x - 48x = 36 - 3

Combine like terms: -44x = 33

Finally, solve for x by dividing both sides by -44:

x = 33 / -44

Simplify the fraction: x = -3/4

So, the value of x that satisfies the equation is x = -3/4.