Question

7x-4/8- 2x/6=3х +3/4

Answer 1

Ответ:

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Answer 2

To solve the equation 7x - 4/8 - 2x/6 = 3x + 3/4, follow these steps:

Step 1: Simplify the fractions on both sides of the equation.

• 4/8 simplifies to 1/2.
• 2x/6 simplifies to x/3.

Now, your equation becomes:

7x - 1/2 - x/3 = 3x + 3/4

Step 2: Get rid of fractions by multiplying both sides of the equation by a common denominator. In this case, the common denominator is 12.

12(7x - 1/2 - x/3) = 12(3x + 3/4)

This simplifies the equation to:

12(7x) - 12(1/2) - 12(x/3) = 12(3x) + 12(3/4)

Step 3: Distribute the 12 on both sides of the equation:

84x - 6 - 4x = 36x + 9

Step 4: Group like terms on each side:

(84x - 4x) - 6 = 36x + 9

80x - 6 = 36x + 9

Step 5: Move all terms involving x to one side of the equation and constants to the other side. Subtract 36x from both sides:

80x - 36x - 6 = 9

44x - 6 = 9

Step 6: Add 6 to both sides:

44x - 6 + 6 = 9 + 6

44x = 15

Step 7: Finally, divide by 44 to isolate x:

44x/44 = 15/44

x = 15/44

So, the solution to the equation is:

x = 15/44