Question

2(x+3)-6=8(x-4)+12 решите пожалуйста​

Answer 1

Ответ:

x = $\frac{10}{3}$ или x = 3.(3)

Пошаговое объяснение:

2(x+3)-6=8(x-4)+12

2x+6-6=8x-32+12

2x=8x-20

20=8x-2x

20=6x

x = $\frac{10}{3}$ или x = 3.(3)

Answer 2

To solve the equation 2(x+3)-6=8(x-4)+12, let's simplify and solve step by step:

Step 1: Distribute the terms

Apply the distributive property to both sides of the equation:

2(x+3)-6 = 8(x-4)+12

Simplify:

2x + 6 - 6 = 8x - 32 + 12

Step 2: Combine like terms

Combine the like terms on each side of the equation:

2x = 8x - 20

Step 3: Move variables to one side

Move the variable terms to one side of the equation by subtracting 8x from both sides:

2x - 8x = -20

Simplify:

-6x = -20

Step 4: Solve for x

To solve for x, divide both sides of the equation by -6:

-6x / -6 = -20 / -6

Simplify:

x = 20/6

Step 5: Simplify the fraction

Simplify the fraction 20/6:

x = 10/3

So, the solution to the equation 2(x+3)-6=8(x-4)+12 is x = 10/3.

Please let me know if you need any further assistance!