Question

0,35(x+200)-0,65x=142

Answer 1

0,35(x+200)-0,65x=142
0,35x+70-0,65x=142
- 0,3x=72
x=- 240

Answer 2

To solve the equation 0.35(x + 200) - 0.65x = 142, follow these steps:

Step 1: Distribute the 0.35 on the left side of the equation:

0.35x + 70 - 0.65x = 142

Step 2: Combine like terms by subtracting 0.35x from both sides of the equation:

(0.35x - 0.35x) + 70 - 0.65x = 142 - 0.35x

0x + 70 - 0.65x = 142 - 0.35x

-0.65x + 70 = 142 - 0.35x

Step 3: Subtract 70 from both sides of the equation to isolate the terms with x on the left side:

-0.65x + 70 - 70 = 142 - 0.35x - 70

-0.65x = 72 - 0.35x

Step 4: Now, you want to isolate x. To do this, subtract -0.35x from both sides of the equation:

-0.65x - (-0.35x) = 72 - 0.35x - (-0.35x)

-0.65x + 0.35x = 72

-0.3x = 72

Step 5: Finally, divide both sides by -0.3 to solve for x:

(-0.3x) / (-0.3) = 72 / (-0.3)

x = -240

So, the solution to the equation 0.35(x + 200) - 0.65x = 142 is x = -240.