Question

1. -12(2-x)=-6x+2 2. -(x-3)+2(3-x)=5 3. -4+21+(3-x)=12 4. -2(x-3)+(4-x)=12

Answer 1

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Answer 2

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

1. -12(2-x)=-6x+2

First, we need to simplify the left side of the equation:

-12(2-x) = -24 + 12x

Now we can substitute this expression into the original equation:

-24 + 12x = -6x + 2

We can simplify by adding 6x to both sides:

18x - 24 = 2

Now we add 24 to both sides:

18x = 26

Finally, we divide both sides by 18:

x = 26/18 = 13/9

Therefore, the solution to the equation is x = 13/9.

2. -(x-3)+2(3-x)=5

First, we need to distribute the coefficients:

• x + 3 + 6 - 2x = 5

We can simplify by combining like terms:

-3x + 9 = 5

Now we can subtract 9 from both sides:

-3x = -4

Finally, we divide both sides by -3:

x = 4/3

Therefore, the solution to the equation is x = 4/3.

3. -4+21+(3-x)=12

First, we need to simplify the left side of the equation:

20 - x = 12

Now we can add x to both sides:

20 = 12 + x

Finally, we subtract 12 from both sides:

x = 8

Therefore, the solution to the equation is x = 8.

4. -2(x-3)+(4-x)=12

First, we need to distribute the coefficients:

-2x + 6 + 4 - x = 12

We can simplify by combining like terms:

-3x + 10 = 12

Now we can subtract 10 from both sides:

-3x = 2

Finally, we divide both sides by -3:

x = -2/3

Therefore, the solution to the equation is x = -2/3.