Question

0,4(x+5)=0,3(x-3)+5,2

Answer 1

0,4(х+5)=0,3(х-3)+5,2
0,4х+2=0,3х-0,9+5,2
0,4х-0,3х=4,3-2
0,1х=2,3
х=2,3/0,1
х=23

Answer 2

0,4(х+5)=0,3(х-3)+5,2
0,4х+2=0,3х-0,9+5,2
0,4х-0,3х=5,2-0,9-2
0,1х=2,3
х=2,3:0,1
х=23

Answer 3

To solve the equation, follow these steps:

Step 1: Distribute the terms on the left side and right side of the equation. Step 2: Simplify both sides. Step 3: Isolate the variable on one side of the equation. Step 4: Solve for the variable.

Let's go through each step:

Step 1: Distribute the terms on the left side and right side of the equation. 0.4(x+5) = 0.3(x-3) + 5.2

Expand the terms on both sides: 0.4x + 2 = 0.3x - 0.9 + 5.2

Step 2: Simplify both sides. Combine the constant terms on the right side: 0.4x + 2 = 0.3x + 4.3

Step 3: Isolate the variable on one side of the equation. Subtract 0.3x from both sides to move all x terms to the left side: 0.4x - 0.3x + 2 = 0.3x - 0.3x + 4.3

Simplify: 0.1x + 2 = 4.3

Step 4: Solve for the variable. Subtract 2 from both sides to isolate the term with x: 0.1x = 4.3 - 2

Simplify: 0.1x = 2.3

Now, to get the value of x, divide both sides by 0.1: x = 2.3 / 0.1

x = 23

So, the solution to the equation is x = 23.