Question

-3x+2*(2-x)=8x-9 с проверкой​

Answer 1

Ответ:

х=1

Пошаговое объяснение:

-3х+2(2-х)=8х-9

-3+(4-2х)-8х+9=0

раскрываем скобки и получаем 10-10х=0

10=10х (:10)

х=1

Проверка:

-3*1+2(2-1)=8*1-9

-3+(4-2)=8-9

-1=-1 (истина)

Answer 2

To solve the equation -3x + 2*(2 - x) = 8x - 9, we'll first simplify the left-hand side (LHS) and the right-hand side (RHS) of the equation. Then, we'll combine like terms and solve for the value of x. Finally, we'll verify if the solution satisfies the original equation.

Step 1: Simplify the equation -3x + 2*(2 - x) = 8x - 9

Step 2: Distribute the 2 on the LHS -3x + 4 - 2x = 8x - 9

Step 3: Combine like terms on the LHS -3x - 2x + 4 = 8x - 9

Step 4: Combine like terms on the RHS -5x + 4 = 8x - 9

Step 5: Move the x terms to one side and the constant terms to the other side -5x - 8x = -9 - 4

Step 6: Simplify further -13x = -13

Step 7: Solve for x x = (-13) / (-13) x = 1

Now, we have found that x = 1 is the solution to the equation.

Step 8: Verify the solution Substitute x = 1 back into the original equation:

LHS: -3x + 2*(2 - x) = -3(1) + 2*(2 - 1) = -3 + 2 = -1 RHS: 8x - 9 = 8(1) - 9 = 8 - 9 = -1

Both sides of the equation equal -1, which means that x = 1 is indeed the correct solution.

Therefore, the solution to the equation -3x + 2*(2 - x) = 8x - 9 is x = 1.