Question

3/8( 8/9 х – 16) – 2,2 ( 10/11 х – 1/22) = -8

Answer 1

3/8( 8/9 х – 16) – 2,2 ( 10/11 х – 1/22) = -8
3/8*8/9х-3/8*16-22/10*10/11х+22/10*1/22=-8
3/9х-6-2х+1/10=-8
8-6+0,1=2х-1/3х
2,1=5/3х
х=21/10:5/3
х=21/10*3/5
х=63/50
х=1,26

Answer 2

To solve the equation, let's simplify each term step by step:

Starting equation:

3/8(8/9x - 16) - 2.2(10/11x - 1/22) = -8

Step 1: Distribute the fractions:

(3/8) * (8/9x - 16) - (2.2) * (10/11x - 1/22) = -8

Step 2: Simplify each term:

(24/72x - 48/8) - (22/11x - 1/11) = -8

Step 3: Convert fractions to a common denominator:

(24/72x - 48/8) - (22/11x - 1/11) = -8

Multiply the first fraction by 11/11 and the second fraction by 8/8:

(264/792x - 594/88) - (176/88x - 8/88) = -8

Step 4: Combine like terms:

264/792x - 594/88 - 176/88x + 8/88 = -8

Step 5: Simplify fractions:

(264x - 594*9 - 176x + 8) / 792 = -8

(264x - 5346 - 176x + 8) / 792 = -8

Step 6: Combine like terms:

88x - 5338 / 792 = -8

Step 7: Multiply both sides of the equation by 792 to eliminate the fraction:

792 * (88x - 5338) / 792 = -8 * 792

88x - 5338 = -6336

Step 8: Add 5338 to both sides:

88x - 5338 + 5338 = -6336 + 5338

88x = -996

Step 9: Divide both sides by 88 to solve for x:

(88x)/88 = -996/88

x = -996/88

Step 10: Simplify the fraction:

x = -57/4

Therefore, the solution to the equation is x = -57/4.