Question

1) 14x-75=-30-x 2) x+0,2 x ----------- =------- 5 10

Answer 1

1)

14x-75=-30-x

14x + x = 75 - 30

15x = 45

x = 45 : 15

x = 3

2)

(x+0,2) / 5 =  x/10

5 * x = 10 * ( x + 0,2)

5x = 10x + 2

10x - 5x = -2

5x = -2

x = -2 : 5

x = -0,4

Answer 2

To solve the equations, let's take them one by one:

1. 14x - 75 = -30 - x

Step 1: Simplify the equation by combining like terms. Add 'x' to both sides: 14x + x - 75 = -30

Step 2: Continue simplifying by combining the 'x' terms. 15x - 75 = -30

Step 3: Isolate the variable term ('x') on one side of the equation. Add 75 to both sides: 15x = -30 + 75 15x = 45

Step 4: Solve for 'x' by dividing both sides by the coefficient of 'x' (which is 15). x = 45 / 15 x = 3

So, the solution to the first equation is x = 3.

2. (x + 0.2x) / 5 = 10

Step 1: Combine the 'x' terms in the parentheses. 0.2x is equivalent to 1/5 x, so we have: (x + 1/5x) / 5 = 10

Step 2: Get rid of the denominator by multiplying both sides by 5. 5 * ((x + 1/5x) / 5) = 5 * 10

Step 3: Simplify the equation. x + 1/5x = 50

Step 4: To combine the terms on the left side, we need a common denominator, which is 5. So, convert 'x' to have a denominator of 5. (5x + 1x) / 5 = 50

Step 5: Combine the 'x' terms. (6x) / 5 = 50

Step 6: Isolate 'x' by multiplying both sides by 5. 6x = 50 * 5 6x = 250

Step 7: Solve for 'x' by dividing both sides by 6. x = 250 / 6 x ≈ 41.67

So, the solution to the second equation is x ≈ 41.67.