Question

3)2x-12=-4x+12. 4)2x+38=4x+8

Answer 1

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

2x+4x=12+12

6x=24

x=4

4) 2x+38=4x+8

2x-4x=38-8

-2x=-30

x=15

Answer 2

To solve the given equations, we'll follow the standard steps for solving linear equations. Let's start with the first equation:

1. 2x - 12 = -4x + 12

Step 1: Combine like terms by adding 4x to both sides: 2x + 4x - 12 = 12

Step 2: Combine like terms by adding 12 to both sides: 6x - 12 = 12

Step 3: Isolate x on one side by adding 12 to both sides: 6x = 12 + 12 6x = 24

Step 4: Finally, divide both sides by 6 to solve for x: x = 24 / 6 x = 4

So the solution to the first equation is x = 4.

Now, let's solve the second equation:

2. 2x + 38 = 4x + 8

Step 1: Combine like terms by subtracting 2x from both sides: 38 = 4x - 2x + 8

Step 2: Combine like terms: 38 = 2x + 8

Step 3: Isolate x on one side by subtracting 8 from both sides: 38 - 8 = 2x 30 = 2x

Step 4: Finally, divide both sides by 2 to solve for x: x = 30 / 2 x = 15

So the solution to the second equation is x = 15.

To summarize:

1. The solution to the equation 2x - 12 = -4x + 12 is x = 4.
2. The solution to the equation 2x + 38 = 4x + 8 is x = 15.