Question

0.25x-0.1(x-0.5)=0.4x помогите решить плиз только с проверкой

Answer 1

0.25х-0.1х+0.05=0.4х
0.25х-0.1х-0.4х=-0.05
-0.25х=-0.05
х=-0.05:-0.25
х=0.2

Answer 2

To solve the equation 0.25x - 0.1(x - 0.5) = 0.4x, we will follow these steps:

Step 1: Distribute the -0.1 to the terms inside the parentheses: 0.25x - 0.1x + 0.05 = 0.4x

Step 2: Combine like terms on the left side of the equation: 0.15x + 0.05 = 0.4x

Step 3: Move all the terms with x to one side of the equation by subtracting 0.15x from both sides: 0.05 = 0.4x - 0.15x

Step 4: Simplify the right side of the equation: 0.05 = 0.25x

Step 5: Solve for x by dividing both sides of the equation by 0.25: 0.05/0.25 = x

Step 6: Simplify the left side of the equation: 0.2 = x

Therefore, the solution to the equation 0.25x - 0.1(x - 0.5) = 0.4x is x = 0.2.

Let's verify this solution by substituting x = 0.2 back into the original equation:

0.25(0.2) - 0.1(0.2 - 0.5) = 0.4(0.2) 0.05 - 0.1(-0.3) = 0.08 0.05 + 0.03 = 0.08 0.08 = 0.08

The left side of the equation equals the right side, which confirms that x = 0.2 is indeed the correct solution.

I hope this helps! Let me know if you have any further questions.