Question

(1,46-1\5x)-(0,86-2\9x)=1

Answer 1

1,46-1/5x-0,86+2/9x=1
10/45x-9/45x=1-0,6
1/45x=0,4
x=0,4:1/45=4/10*45/1=18

Answer 2

To solve the equation (1,46 - 1/5x) - (0,86 - 2/9x) = 1, we can follow these steps:

Step 1: Simplify the expression on both sides of the equation.

(1,46 - 1/5x) - (0,86 - 2/9x) = 1

First, let's simplify the expressions within the parentheses:

1,46 - 1/5x = 1,46 - (1/5)x 0,86 - 2/9x = 0,86 - (2/9)x

The equation becomes:

(1,46 - (1/5)x) - (0,86 - (2/9)x) = 1

Step 2: Distribute the negative sign to the terms inside the second set of parentheses.

(1,46 - (1/5)x) - 0,86 + (2/9)x = 1

Step 3: Combine like terms.

First, let's add the terms with x together:

-(1/5)x + (2/9)x = -(9/45)x + (10/45)x = (1/45)x

Next, let's add the constant terms together:

1,46 - 0,86 = 0,60

The equation becomes:

(1/45)x + 0,60 = 1

Step 4: Move 0,60 to the other side of the equation by subtracting it from both sides.

(1/45)x = 1 - 0,60

Simplifying the right side:

(1/45)x = 0,40

Step 5: Solve for x by multiplying both sides of the equation by 45.

45 * (1/45)x = 45 * 0,40

Simplifying:

x = 18

So, the solution to the equation (1,46 - 1/5x) - (0,86 - 2/9x) = 1 is x = 18.