Question

2*(2/3х-1/6)+5 1/3=-4*(7/12х+1 3/4)-(1/3х-4/9)

Answer 1

Відповідь:

х=-3/11

Покрокове пояснення:

Answer 2

It seems like you have provided an equation that needs to be solved for the variable "x." Let's simplify and solve the equation step by step:

Given equation: 2 * (2/3x - 1/6) + 5 1/3 = -4 * (7/12x + 1 3/4) - (1/3x - 4/9)

First, let's convert the mixed numbers into improper fractions: 5 1/3 = 16/3 1 3/4 = 7/4

Now the equation becomes: 2 * (2/3x - 1/6) + 16/3 = -4 * (7/12x + 7/4) - (1/3x - 4/9)

Next, distribute the coefficients: (4/3x - 1/3) + 16/3 = (-7/3x - 7) - (1/3x - 4/9)

Now, combine like terms on both sides of the equation: 4/3x + 16/3 - 1/3 = -7/3x - 7 - 1/3x + 4/9

Simplify the left side: 4/3x + 15/3 = -7/3x - 7 - 1/3x + 4/9

Further simplify: 4/3x + 5 = -7/3x - 7 - 1/3x + 4/9

Now, let's group the "x" terms on one side and the constants on the other side: 4/3x + 7/3x + 1/3x = -7 - 5 - 4/9 + 7/9

Combine the "x" terms and the constants: 16/3x = -19 - 4/9 + 7/9

Simplify the constants on the right side: 16/3x = -19 - (4 - 7)/9 16/3x = -19 - (-3)/9 16/3x = -19 + 1/3

Now, solve for "x": 16/3x = -58/3

Divide both sides by 16/3: x = (-58/3) / (16/3) x = -58/16 x = -29/8

So, the solution for the equation is: x = -29/8