Question

3*(2 1/2х - 0.2)-15 1/8 =8-(2/3-0.5х)​

Answer 1

Ответ:

Пошаговое объяснение:

3·(2 1/2 ·x-0,2)-15 1/8=8-(2/3 -0,5x)

3·(5/2 ·x -1/5)=7 3/3 -2/3 +1/2 ·x+15 1/8

15/2 ·x -1/2 ·x=7 8/24 +15 3/24 +3/5

7x=22 11/24 +3/5

7x=22 55/120 +72/120

7x=22 127/120

x=2767/120 ÷7=2767/120 ·1/7=2767/840=3 247/840

Answer 2

Ответ:

3 247/840

Пошаговое объяснение:

3*(2 1/2х - 0.2)-15 1/8 =8-(2/3-0.5х)​

3*2,5х-3*0,2-15 1/8=8-2/3+0,5х

7,5х-0,6-15 1/8=7 1/3+0,5х

7,5х-0,5х=7 1/3+3/5+15 1/8

7х=22 (40+72+15)/120

7х=23 7/120

х=23 7/120:7=2767.120*1/7=2767/140=3 247/840

х=3 247/840

Answer 3

To solve the equation, let's break it down step by step:

Given equation: 3*(2 1/2x - 0.2) - 15 1/8 = 8 - (2/3 - 0.5x)

Step 1: Simplify the fractions and expressions inside the parentheses.

• 2 1/2 = 5/2
• 15 1/8 = 121/8

So, the equation becomes: 3*(5/2x - 0.2) - 121/8 = 8 - (2/3 - 0.5x)

Step 2: Distribute the multiplication on the left side and simplify the right side.

• 3*(5/2x - 0.2) = 15/2x - 0.6
• 8 - (2/3 - 0.5x) = 8 - 2/3 + 0.5x = 22/3 + 0.5x

The equation becomes: 15/2x - 0.6 - 121/8 = 22/3 + 0.5x

Step 3: Find a common denominator for the fractions. The common denominator for 2 and 8 is 8. The common denominator for 3 and 8 is 24.

• 15/2x - 0.6 - (121/8) * (3/3) = (22/3) * (8/8) + 0.5x
• 15/2x - 0.6 - 363/24 = 176/24 + 0.5x

Step 4: Combine the fractions on both sides of the equation.

• 15/2x - 363/24 + 0.5x = 176/24 + 0.5x

Step 5: Combine like terms on both sides.

• (15/2 + 0.5)x - 363/24 = (176/24 + 0.5x)

• (15/2 + 0.5)x = 176/24 + 363/24

Step 6: Simplify the fractions on the right side.

• (15/2 + 0.5)x = (176 + 363)/24

• (15/2 + 0.5)x = 539/24

Step 7: Add the fractions on the left side.

• (15/2 + 0.5) = 16/2 = 8

So, the equation becomes: 8x = 539/24

Step 8: Solve for x.

• x = (539/24) / 8
• x = 539 / (24 * 8)
• x = 539 / 192
• x ≈ 2.8073

Therefore, the approximate solution for the equation is x ≈ 2.8073.