Question

1)5x+4=x-12 2)5x+9=6x-7 3)4x-(6-x)=13 4)5x-(4-x)=13 5)2x+4=x+6 6)3x-6=2x-4

Answer 1

X=-4
2)x=16
3)?
4)
5)x=2
6)x=2

Answer 2

1) 5x + 4 = x - 12

To solve this equation, we need to isolate the variable x on one side of the equation. Let's begin by simplifying both sides of the equation:

Step 1: Distribute the x on the right side of the equation: 5x + 4 = x - 12 5x + 4 = x + (-12)

Step 2: Combine like terms on both sides: 5x - x = -12 - 4 4x = -16

Step 3: Divide both sides of the equation by 4 to solve for x: 4x/4 = -16/4 x = -4

Therefore, the solution to the equation 5x + 4 = x - 12 is x = -4.

2) 5x + 9 = 6x - 7

Let's solve this equation step by step:

Step 1: Move all terms containing x to one side of the equation and constant terms to the other side: 5x - 6x = -7 - 9 -x = -16

Step 2: Multiply both sides of the equation by -1 to isolate x: (-1)(-x) = (-1)(-16) x = 16

So the solution to the equation 5x + 9 = 6x - 7 is x = 16.

3) 4x - (6 - x) = 13

To solve this equation, let's simplify both sides:

Step 1: Distribute the negative sign inside the parentheses: 4x - 6 + x = 13

Step 2: Combine like terms on the left side of the equation: 5x - 6 = 13

Step 3: Move the constant term to the right side of the equation: 5x = 13 + 6 5x = 19

Step 4: Divide both sides of the equation by 5 to solve for x: x = 19/5

So the solution to the equation 4x - (6 - x) = 13 is x = 19/5.

4) 5x - (4 - x) = 13

Let's solve this equation step by step:

Step 1: Distribute the negative sign inside the parentheses: 5x - 4 + x = 13

Step 2: Combine like terms on the left side of the equation: 6x - 4 = 13

Step 3: Move the constant term to the right side of the equation: 6x = 13 + 4 6x = 17

Step 4: Divide both sides of the equation by 6 to solve for x: x = 17/6

So the solution to the equation 5x - (4 - x) = 13 is x = 17/6.

5) 2x + 4 = x + 6

Let's solve this equation step by step:

Step 1: Move all terms containing x to one side of the equation and constant terms to the other side: 2x - x = 6 - 4 x = 2

So the solution to the equation 2x + 4 = x + 6 is x = 2.

6) 3x - 6 = 2x - 4

Let's solve this equation step by step:

Step 1: Move all terms containing x to one side of the equation and constant terms to the other side: 3x - 2x = -4 + 6 x = 2

So the solution to the equation 3x - 6 = 2x - 4 is x = 2.

Please let me know if you need any further assistance!