Question

0,8(х-2)+2,6=0,5(7+х)​

Answer 1

0,8(x - 2) + 2,6 = 0,5(7 + x)

0,8x - 1,6 + 2,6 = 3,5 + 0,5x

0,3x = 2,5

x = 2,5 : 0,3

x = 8 1/3

Проверим:

0,8(8 1/3 - 2) + 2,6 = 0,5(7 + 8 1/3)

6 2/3 - 1,6 + 2,6 = 3,5 + 4 1/6

6 4/6 - 4 1/6 = 3,5 - 1

2,5 = 2,5

Ответ: {8 1/3}

Answer 2

To solve the equation, follow these steps:

Step 1: Distribute the coefficients on each side of the equation. Step 2: Combine like terms on each side. Step 3: Move all terms with 'x' to one side and constant terms to the other side. Step 4: Solve for 'x'.

Let's begin:

0.8(x - 2) + 2.6 = 0.5(7 + x)

Step 1: Distribute the coefficients:

0.8 * x - 0.8 * 2 + 2.6 = 0.5 * 7 + 0.5 * x

Step 2: Combine like terms:

0.8x - 1.6 + 2.6 = 3.5 + 0.5x

Step 3: Move all terms with 'x' to one side and constant terms to the other side:

0.8x + 1 = 3.5 + 0.5x

Now, we want to get all 'x' terms on one side. To do that, we'll move 0.5x to the left side by subtracting 0.5x from both sides:

0.8x - 0.5x + 1 = 3.5

Simplify the 'x' terms:

0.3x + 1 = 3.5

Step 4: Isolate 'x' by moving the constant term to the other side. Subtract 1 from both sides:

0.3x = 3.5 - 1

0.3x = 2.5

Finally, divide both sides by 0.3 to solve for 'x':

x = 2.5 / 0.3 x = 8.3333 (rounded to four decimal places)

So, the solution for the equation is approximately x = 8.3333.