Question

(x+2)/9-1=(2x+1)/18-x/6

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the equation $(x+2)/9 - 1 = (2x+1)/18 - x/6$, you can follow these steps:

Step 1: Clear the denominators by multiplying both sides of the equation by the least common multiple (LCM) of 9, 18, and 6, which is 18. This will eliminate the fractions:

$18[(x+2)/9 - 1] = 18[(2x+1)/18 - x/6]$

Step 2: Distribute the 18 on both sides of the equation:

$(18/9)(x+2) - 18 = (18/18)(2x+1) - (18/6)x$

Simplify the fractions:

$2(x+2) - 18 = (1)(2x+1) - 3x$

Step 3: Distribute on both sides of the equation:

$2x + 4 - 18 = 2x + 1 - 3x$

Step 4: Simplify and collect like terms on each side of the equation:

$2x - 14 = -x + 1$

Step 5: Move all the terms involving 'x' to one side of the equation and the constants to the other side:

$2x + x = 1 + 14$

$3x = 15$

Step 6: Divide both sides by 3 to isolate 'x':

$x = 15/3$

$x = 5$

So, the solution to the equation is $x = 5$.