Question

1. -7x+8=9x 2. 4•(2-3x)=-7x+19 3. 7•(-3+2x)=-6x-1 4. 9-4x=-9x-4 5. -1-4•(-7+8x)=-2x-6

Answer 1

$\displaystyle 1)-7x+8=9x\\-7x-9x=-8\\\-16x=-8\\\\x=\frac{1}{2}=0,5\\ \\2)4(2-3x)=-7x+19\\8-12x=-7x+19\\-12x+7x=19-8\\-5x=11\\\\x=-\frac{11}{5}=-2\frac{1}5}=-2,2\\ \\3)7*-3+2x)=-6x-1\\ -21+14x=-6x-1\\14x+6x=-1+21\\20x=20\\x=1\\\\4)9-4x=-9x-4\\-4x+9x=-4-9\\5x=-13\\\\x=-\frac{13}{5}=-2\frac{3}{5}=-2,6\\ \\5)-1-4(-7+8x)=-2x-6\\ -1+28-32x=-2x-6\\27-32x=-2x-6\\-32x+2x=-6-27\\-30x=-33\\\\x=\frac{11}{10}=1\frac{1}{10}=1,1$

Answer 2

Let's solve each of these equations step by step:

1. -7x + 8 = 9x

   First, let's isolate the x terms on one side and the constants on the other side:

   -7x - 9x = -8

   Now, combine the x terms:

   -16x = -8

   To solve for x, divide both sides by -16:

   x = (-8) / (-16)

   x = 1/2

2. 4 * (2 - 3x) = -7x + 19

   Distribute the 4 on the left side:

   8 - 12x = -7x + 19

   Let's move the terms involving x to one side:

   -12x + 7x = 19 - 8

   Simplify the x terms:

   -5x = 11

   To solve for x, divide both sides by -5:

   x = -11/5

3. 7 * (-3 + 2x) = -6x - 1

   Distribute the 7 on the left side:

   -21 + 14x = -6x - 1

   Let's move the terms involving x to one side:

   14x + 6x = -1 + 21

   Simplify the x terms:

   20x = 20

   To solve for x, divide both sides by 20:

   x = 20/20

   x = 1

4. 9 - 4x = -9x - 4

   Let's move the terms involving x to one side:

   9 + 4x = -4 - 9x

   Combine the x terms:

   4x + 9x = -4 - 9

   Simplify the x terms:

   13x = -13

   To solve for x, divide both sides by 13:

   x = (-13) / 13

   x = -1

5. -1 - 4 * (-7 + 8x) = -2x - 6

   Distribute the -4 on the left side:

   -1 + 28x = -2x - 6

   Let's move the terms involving x to one side:

   28x + 2x = -6 + 1

   Simplify the x terms:

   30x = -5

   To solve for x, divide both sides by 30:

   x = (-5) / 30

   x = -1/6

So, the solutions to the equations are:

1. x = 1/2
2. x = -11/5
3. x = 1
4. x = -1
5. x = -1/6