Question

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

Answer 1

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Answer 2

To solve the equation, we need to combine like terms and isolate the variable "x" on one side of the equation. Let's simplify the equation step by step:

Step 1: Combine like terms on both sides of the equation.

On the left-hand side (LHS): 2,1 + 1,3 + 0,6x

On the right-hand side (RHS): 3x + 1,9 - 0,3 - 1,7

Step 2: Combine the numbers on both sides.

On the LHS: 2,1 + 1,3 = 3,4 So, the equation becomes: 3,4 + 0,6x = 3x + 1,9 - 0,3 - 1,7

Step 3: Simplify the right-hand side further.

On the RHS: 1,9 - 0,3 - 1,7 = 0,9

Step 4: Now, the equation becomes: 3,4 + 0,6x = 3x + 0,9

Step 5: Isolate the variable "x" on one side of the equation. Let's move all terms containing "x" to the left-hand side and constants to the right-hand side.

Subtract 0,6x from both sides: 3,4 + 0,6x - 0,6x = 3x + 0,9 - 0,6x

The 0,6x terms cancel out on the left-hand side: 3,4 = 3x + 0,9 - 0,6x

Now, subtract 0,9 from both sides: 3,4 - 0,9 = 3x + 0,9 - 0,6x - 0,9

Simplify the constants: 2,5 = 3x - 0,6x

Step 6: Combine "x" terms on the right-hand side: 2,5 = 2,4x

Step 7: Finally, solve for "x" by dividing both sides by 2,4: x = 2,5 / 2,4 x = 1,04166667 (approximately)

So, the solution to the equation is x ≈ 1,04166667.