Question

Решитте уравнения -2 *(-4х+8) =-4*(5х -2)-3*(-3х-4)= -2*(-2х+2)

Answer 1

8x-16=20x+8
8x-20x=16+8
-12x=24
x=24/(-12)
x=-2

6x+12=4x-4
6x-4x=-12-4
2x=-16
x=-8

Answer 2

1)
-2*(-4х+8)=-4*(5х-2)
8х-16=8-20х
8х+20х=8+16
28х=24
х=24/28=6/7
2)
-3*(-3х-4)=-2*(-2х+2)
9х+12=4х-4
12х-4х=-4-12
8х=-16
х=-2

Answer 3

Let's solve each equation step by step:

1. -2 * (-4x + 8) = -4 * (5x - 2) - 3 * (-3x - 4)

Expand both sides of the equation:

-2 * (-4x) + (-2) * 8 = -4 * 5x + 4 * 2 - 3 * (-3x) - 3 * (-4)

Simplify:

8x - 16 = -20x + 8 + 9x + 12

Now, let's group the x terms on one side and the constant terms on the other side:

8x + 20x = 8 + 9x + 12 + 16

Combine like terms:

28x = 9x + 36

Subtract 9x from both sides:

28x - 9x = 9x - 9x + 36

Simplify:

19x = 36

Finally, divide both sides by 19 to solve for x:

x = 36 / 19

2. -2 * (-2x + 2) = 0

Expand both sides:

-2 * (-2x) + (-2) * 2 = 0

Simplify:

4x - 4 = 0

Now, let's isolate the x term:

4x = 4

Divide both sides by 4:

x = 4 / 4

x = 1

So, the solutions to the given equations are:

1. x = 36/19
2. x = 1