Question

3x-9=7x+28...............

Answer 1

3x-9 = 7x+28

3x-7x = 28+9

-4x = 37

x = -9.25

Answer 2

To solve the equation 3x - 9 = 7x + 28, you want to isolate the variable x on one side of the equation. Here's the step-by-step process:

Step 1: Combine like terms on each side of the equation. Move all the terms containing x to one side and the constant terms to the other side. You can do this by adding 9 to both sides of the equation to get rid of the -9 term on the left side:

3x - 9 + 9 = 7x + 28 + 9

Simplifying:

3x = 7x + 37

Step 2: Isolate x on one side of the equation. Now, let's get all the terms with x on one side. To do this, subtract 7x from both sides:

3x - 7x = 7x + 37 - 7x

Simplifying:

-4x = 37

Step 3: Solve for x. To solve for x, divide both sides by -4:

x = 37 / -4

Simplifying:

x = -9.25

The solution to the equation is x = -9.25.