Question

2/3х-4=-1/6х+1 ........

Answer 1

2/3x=−1/6x+5

6х

4=−1+30x

x=1/6

x=0.16

Answer 2

To solve the equation 2/3x - 4 = -1/6x + 1, you need to isolate the variable x on one side of the equation. Here's how you can do it step-by-step:

Step 1: Get rid of the fractions by multiplying the entire equation by the least common multiple (LCM) of the denominators. In this case, the LCM of 3 and 6 is 6.

Multiply each term by 6: 6 * (2/3x) - 6 * 4 = 6 * (-1/6x) + 6 * 1

Step 2: Simplify both sides of the equation:

4x - 24 = -x + 6

Step 3: Now, let's move all the x terms to one side of the equation and the constant terms to the other side.

Add x to both sides: 4x + x - 24 = 6

Combine the x terms: 5x - 24 = 6

Step 4: Next, isolate the constant term by adding 24 to both sides of the equation:

5x = 6 + 24 5x = 30

Step 5: Finally, solve for x by dividing both sides by 5:

x = 30 / 5 x = 6

So, the solution to the equation is x = 6.

Answer 3

To solve the equation, we'll first get rid of the fractions by multiplying all terms by the least common multiple (LCM) of the denominators. In this case, the LCM of 3 and 6 is 6. Therefore, we will multiply all terms by 6 to clear the fractions:

6 * (2/3)x - 6 * 4 = 6 * (-1/6)x + 6 * 1

Now, simplify:

2x - 24 = -x + 6

Next, let's get all the x terms on one side of the equation and the constant terms on the other side. To do that, add x to both sides of the equation:

2x + x - 24 = -x + x + 6

Combine like terms:

3x - 24 = 6

Now, add 24 to both sides to isolate the term with x:

3x = 6 + 24

3x = 30

Finally, divide both sides by 3 to solve for x:

x = 30 / 3

x = 10

So, the solution to the equation is x = 10.