Question

0,4(x-8)-2,5=3,1(2x-5)

Answer 1

0,4(x-8)-2,5=3,1(2x-5)
0,4x-3,2-2,5=6,2x-15,5
0,4x-5,7=6,2x-15,5
0,4x-6,2x=-15,5+5,7
-5,8x=-9,8 |*(-1)
5,8x=9,8

x= $\frac{9,8}{5,8} = \frac{9 \frac{8}{10} }{5 \frac{8}{10} } =\frac{ \frac{98}{10} }{ \frac{58}{10} }=\frac{98}{10}:\frac{58}{10}=\frac{98}{10}*\frac{10}{58}= \frac{98}{58} =1 \frac{20}{29}$

Answer 2

To solve the equation 0.4(x-8) - 2.5 = 3.1(2x-5), you'll want to follow these steps:

Step 1: Distribute the constants outside the parentheses to the terms inside the parentheses.

0.4(x) - 0.4(8) - 2.5 = 3.1(2x) - 3.1(5)

This simplifies the equation to:

0.4x - 3.2 - 2.5 = 6.2x - 15.5

Step 2: Combine like terms on both sides of the equation. Start by moving the variable terms (with 'x') to one side of the equation and the constant terms to the other side.

0.4x - 6.7 = 6.2x - 15.5

Step 3: Now, let's isolate the variable terms by moving all the terms containing 'x' to one side. To do this, subtract 0.4x from both sides of the equation:

0.4x - 0.4x - 6.7 = 6.2x - 0.4x - 15.5

This simplifies to:

-6.7 = 5.8x - 15.5

Step 4: Now, isolate the variable term '5.8x' by adding 15.5 to both sides:

-6.7 + 15.5 = 5.8x - 15.5 + 15.5

This simplifies to:

8.8 = 5.8x

Step 5: Finally, divide both sides by 5.8 to solve for 'x':

8.8 / 5.8 = 5.8x / 5.8

x ≈ 1.5172

So, the solution to the equation is approximately x ≈ 1.5172.