Question

0,2(х-3)-1=0,5(х+3)-0,4

Answer 1

0,2x-0,6-1=0,5x+1,5-0,4
0,2x-0,5x=1,5-0,4+1+0,6
-0,3x=2,7
x=-2,7:0,3
x=-9

Answer 2

To solve the equation, we'll first simplify the expressions on both sides and then isolate the variable "x." Follow these steps:

Step 1: Distribute the coefficients on the left and right sides of the equation.

0.2(x - 3) - 1 = 0.5(x + 3) - 0.4

0.2 * x - 0.2 * 3 - 1 = 0.5 * x + 0.5 * 3 - 0.4

Step 2: Simplify the expressions.

0.2x - 0.6 - 1 = 0.5x + 1.5 - 0.4

Step 3: Combine like terms.

0.2x - 1.6 = 0.5x + 1.1

Step 4: Now, isolate the variable "x" on one side of the equation. To do this, we'll move the terms containing "x" to one side and the constant terms to the other side.

Subtract 0.2x from both sides:

0.2x - 0.2x - 1.6 = 0.5x - 0.2x + 1.1

Simplifying:

-1.6 = 0.3x + 1.1

Step 5: Move the constant term to the other side by subtracting 1.1 from both sides:

-1.6 - 1.1 = 0.3x + 1.1 - 1.1

Simplifying:

-2.7 = 0.3x

Step 6: Finally, solve for "x" by dividing both sides by 0.3:

x = -2.7 / 0.3

x = -9

So, the solution to the equation is x = -9.