Question

6 1/2(3-2х)=20-(12 2/5х + 1 2/5)

Answer 1

Ответ:

Пошаговое объяснение:

13/2(3-2х)=20-12 2/5х-1 2/5

39/2-13х=18 3/5-12 2/5х

-13х+12 2/5х=18 3/5-39/2

-3/5х=18 6/10-19 5/10

-3/5х=-9/10

Х=-9/10*(-5/3)

Х=3/2=1,5

Answer 2

To solve the equation 6 1/2(3-2x) = 20 - (12 2/5x + 1 2/5), you can follow these steps:

Step 1: Simplify the equation by distributing and combining like terms on both sides.

6 1/2(3-2x) = 20 - (12 2/5x + 1 2/5)

First, simplify the fractions:

6 1/2 = 13/2 12 2/5 = 62/5 1 2/5 = 7/5

Now, rewrite the equation:

(13/2)(3 - 2x) = 20 - (62/5)x - (7/5)

Step 2: Distribute on the left side of the equation:

(13/2)(3) - (13/2)(2x) = 20 - (62/5)x - (7/5)

(39/2) - (13/1)x = 20 - (62/5)x - (7/5)

Step 3: Combine like terms on both sides of the equation. To do this, we need to find a common denominator for the fractions:

Common denominator for 2 and 5 is 10.

Multiply the fractions by 5/5 and 2/2 to get a common denominator of 10:

(39/2)(5/5) - (13/1)(2/2)x = (20)(10/10) - (62/5)x - (7/5)(2/2)

Now, rewrite the equation:

(195/10) - (26/10)x = (200/10) - (124/10)x - (14/10)

Step 4: Continue to combine like terms:

(195/10) - (26/10)x = (200/10) - (124/10)x - (14/10)

Now, subtract (124/10)x from both sides and add (14/10) to both sides:

(195/10) + (14/10) = (200/10) - (26/10)x + (124/10)x

(209/10) = (76/10)x

Step 5: Solve for x by dividing both sides by (76/10):

(209/10) / (76/10) = x

x = (209/10) / (76/10)

x = (209/10) * (10/76)

x = (209/76)

So, the solution to the equation is:

x = 209/76