Question

1/2 (x-4)+6x=5-1 1/2x

Answer 1

Ответ:не благодари

Answer 2

To solve the equation (1/2)(x - 4) + 6x = 5 - (3/2)x, follow these steps:

Step 1: Distribute the 1/2 on the left side and simplify:

(1/2)(x - 4) + 6x = 5 - (3/2)x (1/2)x - (1/2)(4) + 6x = 5 - (3/2)x

Now, let's simplify further:

(1/2)x - 2 + 6x = 5 - (3/2)x

Step 2: Move the terms with x to one side and the constants to the other side of the equation. To do this, you can add (3/2)x to both sides and subtract 5 from both sides:

(1/2)x + 6x + (3/2)x = 5 - 5 - (3/2)x + (3/2)x

Now, simplify the equation:

(1/2)x + 6x + (3/2)x = 0

Step 3: Combine like terms on the left side of the equation:

(1/2 + 6 + 3/2)x = 0

Now, calculate the sum of the coefficients:

(1/2 + 6 + 3/2) = (1/2 + 3/2 + 12/2) = (16/2) = 8

So, the equation becomes:

8x = 0

Step 4: Solve for x by dividing both sides by 8:

(8x)/8 = 0/8

x = 0

The solution to the equation is x = 0.