Question

Розв'язати рівняння 1) -4(2х-6)=-7(х+8) 2) 3,5(х-4)=2(х-3)+(х+20,5) 3) -9х+2х-5

Answer 1

Пошаговое объяснение:

1) -8х + 24 = -7х - 56

-х = -80

х = 80

2). 3.5х - 14 = 2х - 6 + х + 20.5

0.5х = 28.5

х = 57

3) -7х - 5

Answer 2

1. -4(2x-6) = -7(x+8)

First, distribute the constants on both sides of the equation:

-8x + 24 = -7x - 56

Now, let's isolate the variable x. Start by moving all the terms containing x to one side of the equation and the constants to the other side:

-8x + 7x = -56 - 24

Simplify the x terms:

-x = -80

Now, divide both sides by -1 to solve for x:

x = 80

So, the solution to the equation is x = 80.

2. 3.5(x-4) = 2(x-3) + (x+20.5)

First, distribute the constants on both sides of the equation:

3.5x - 14 = 2x - 6 + x + 20.5

Now, let's simplify and solve for x:

Combine like terms on the right side:

3.5x - 14 = 3x + 14.5

Subtract 3x from both sides:

0.5x - 14 = 14.5

Add 14 to both sides:

0.5x = 28.5

Now, divide both sides by 0.5 to solve for x:

x = 28.5 / 0.5

x = 57

So, the solution to the equation is x = 57.

3. -9x + 2x - 5

Combine like terms:

(-9x + 2x) - 5

Simplify:

-7x - 5

So, the expression -9x + 2x - 5 simplifies to -7x - 5.