Question

7).5(3-2х) - 8(х-1)=3+22х

Answer 1

Ответ х=1/2

15-10х-8х+8=3+22х
23-18х=3+22х
-18х-22х=3-23
-40х=-20
х=1/2

Answer 2

To solve the equation, let's simplify the left-hand side (LHS) first by performing the operations step by step:

1. Distribute the coefficients: 7.5(3 - 2x) - 8(x - 1) = 22.5 - 15x - 8x + 8

2. Combine like terms: 22.5 - 15x - 8x + 8 = 30.5 - 23x

Now, the equation becomes: 30.5 - 23x = 3 + 22x

Next, let's isolate the variable x on one side of the equation:

Add 23x to both sides: 30.5 - 23x + 23x = 3 + 22x + 23x

The -23x and +23x on the left side will cancel out, leaving us with: 30.5 = 3 + 45x

Next, subtract 3 from both sides to move constants to one side: 30.5 - 3 = 3 - 3 + 45x

27.5 = 45x

Now, divide both sides by 45 to solve for x: x = 27.5 / 45

Finally, simplify the fraction: x = 0.6111 (rounded to four decimal places)

So, the solution to the equation is x = 0.6111.