Question

Как решить 1/2(х-6)-3=1/3х ?

Answer 1

1/2(х-6)-3=1/3х
1/2х-1/12-3=1/3х
1/2х-1/3х=6+3
-1/1=9
х=9/1/1
х=9

Answer 2

Problem Analysis

To solve the equation 1/2(x-6)-3=1/3x+?, we need to isolate the variable x on one side of the equation. Let's go step by step to solve it.

Step 1: Distribute the fractions

First, let's distribute the fractions on both sides of the equation to eliminate them.

On the left side, we have 1/2(x-6). Distributing the fraction gives us 1/2 * x - 1/2 * 6, which simplifies to 1/2x - 3.

On the right side, we have 1/3x + ?. There is no need to distribute anything on this side.

After distributing, the equation becomes 1/2x - 3 - 3 = 1/3x + ?.

Step 2: Combine like terms

Next, let's combine like terms on both sides of the equation.

On the left side, we have 1/2x - 3 - 3. Combining the constants gives us 1/2x - 6.

On the right side, we have 1/3x + ?. There are no like terms to combine on this side.

After combining like terms, the equation becomes 1/2x - 6 = 1/3x + ?.

Step 3: Move the variable terms to one side

Now, let's move all the terms with the variable x to one side of the equation.

To do this, we subtract 1/3x from both sides of the equation.

After subtracting, the equation becomes 1/2x - 1/3x - 6 = ?.

Step 4: Combine the variable terms

Next, let's combine the variable terms on the left side of the equation.

On the left side, we have 1/2x - 1/3x. To combine these terms, we need to find a common denominator, which is 6.

Converting 1/2x to have a denominator of 6 gives us 3/6x.

Converting 1/3x to have a denominator of 6 gives us 2/6x.

After converting, the equation becomes 3/6x - 2/6x - 6 = ?.

Step 5: Simplify the equation

Now, let's simplify the equation further.

On the left side, we have 3/6x - 2/6x. Subtracting these terms gives us 1/6x.

After simplifying, the equation becomes 1/6x - 6 = ?.

Step 6: Solve for x

Finally, let's solve for x.

To isolate x, we need to move the constant term -6 to the other side of the equation.

Adding 6 to both sides of the equation gives us 1/6x = 6 + ?.

After adding, the equation becomes 1/6x = 6 + ?.

To solve for x, we need to multiply both sides of the equation by 6.

Multiplying by 6 gives us 6 * (1/6x) = 6 * (6 + ?).

On the left side, the 6 and 1/6 cancel out, leaving us with x.

On the right side, we have 6 * (6 + ?), which simplifies to 36 + 6?.

After simplifying, the equation becomes x = 36 + 6?.

Therefore, the solution to the equation 1/2(x-6)-3=1/3x+? is x = 36 + 6?.

Please note that the value of ? is not provided in the equation, so the solution is expressed in terms of ?.

I hope this helps! Let me know if you have any further questions.