Question

"-дріб;. /-риска дробу; "2х-1/6" - "2 (3-4х)/15" = х - "5/4"​

Answer 1

2х-1/2(3-4х)/15=х-5/4

2х-1/6-2(3-4х)/15=х-1,25

2х-1/6-6-8х/15=х-5/4

10(2х-1)-4(6-8х)=60х-75

20х-10-24+32х=60х-75

52х-34=60х-75

52х-60х= -75+34

-8х= -41

х=41/8 или х=5 1/8

Answer 2

(2х-1)/6-2*(3-4х)/15=х-(5/4)

10*(2х-1)-8*(3-4х)=60х-75

20х-10-24+32х=60х-75

75-10-24=8х

х=41/8

х=5 1/8

Answer 3

To solve the equation:

(2x - 1/6) - (2(3 - 4x)/15) = x - 5/4

First, let's simplify the equation step by step:

1. Simplify the expressions within parentheses:

(2x - 1/6) - (6 - 8x)/15 = x - 5/4

2. Multiply each term by 30 to eliminate the fractions:

30(2x - 1/6) - 30(6 - 8x)/15 = 30(x - 5/4)

Simplifying further:

60x - 5 - 2(6 - 8x) = 30x - 75/2

3. Expand the expression inside the parentheses:

60x - 5 - 12 + 16x = 30x - 75/2

Combine like terms:

76x - 17 = 30x - 75/2

4. Move the variable terms to one side and the constant terms to the other side:

76x - 30x = 17 - 75/2

46x = 34 - 75/2

5. Convert the constant on the right side to a fraction:

46x = 34 - 150/2

46x = 34 - 75

46x = -41

6. Solve for x by dividing both sides by 46:

x = -41/46

So the solution to the equation is x = -41/46.