Question

1) 3x+15=8x-202) -6x-8=-8x+133) 1/2x+18=1/6x-9​

Answer 1

1:

3x+15=8x-20

3x-8x=-20-15

-5x=-35

x=7

2:

-6x-8=-8x+13

-6x+8x=13+8

2x=21

x=10.5

3:

1/2x+18=1/6x-9

18+9=1/6x-1/2x

1/6x-1/2x=27

1/6x-3/6x=27

-2/6x=27

-x=81

x=-81

Answer 2

1) Let's solve the equation step by step:

First, let's combine like terms by subtracting 3x from both sides: 3x + 15 - 3x = 8x - 20 - 3x 15 = 5x - 20

Next, let's isolate the variable by adding 20 to both sides: 15 + 20 = 5x - 20 + 20 35 = 5x

Finally, let's solve for x by dividing both sides by 5: 35/5 = 5x/5 7 = x

Therefore, the solution to the equation 3x + 15 = 8x - 20 is x = 7.

2) Let's solve the equation step by step:

First, let's simplify the equation by adding 8x to both sides: -6x + 8x - 8 = -8x + 8x + 13 -6x = 13

Next, divide both sides of the equation by -6 to solve for x: -6x / -6 = 13 / -6 x = -13/6

Therefore, the solution to the equation -6x - 8 = -8x + 13 is x = -13/6.

3) Let's solve the equation step by step:

First, let's simplify the equation by subtracting 1/6x from both sides: 1/2x - 1/6x + 18 = 1/6x - 1/6x - 9 1/3x + 18 = -9

Next, let's isolate the variable by subtracting 18 from both sides: 1/3x + 18 - 18 = -9 - 18 1/3x = -27

Finally, let's solve for x by multiplying both sides by 3: (1/3x) * 3 = -27 * 3 x = -81

Therefore, the solution to the equation 1/2x + 18 = 1/6x - 9 is x = -81.