Solve the following equations and show work.

-3x-7=23

2x+8=4x-12

1 answer

1) -3x -7 = 23

To solve for x, we can isolate the variable on one side of the equation.

First, we add 7 to both sides:

-3x -7 + 7 = 23 + 7
-3x = 30

Next, we divide both sides by -3 to solve for x:

(-3x)/-3 = 30/-3
x = -10

Therefore, the solution to the equation is x = -10.

2) 2x + 8 = 4x - 12

To solve for x, we can isolate the variable on one side of the equation.

First, we subtract 2x from both sides:

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

Next, we add 12 to both sides:

8 + 12 = 2x - 12 + 12
20 = 2x

Then, we divide both sides by 2 to solve for x:

20/2 = (2x)/2
10 = x

Therefore, the solution to the equation is x = 10.