7x + 2 = 3x -6

Answer 1

To solve the equation 7x + 2 = 3x - 6, we need to isolate the variable x.

First, let's subtract 3x from both sides of the equation to get rid of the variable on one side:

7x + 2 - 3x = 3x - 6 - 3x

Simplifying both sides gives:

4x + 2 = -6

Next, let's subtract 2 from both sides to isolate the variable x:

4x + 2 - 2 = -6 - 2

Simplifying both sides gives:

4x = -8

Finally, to solve for x, we need to divide both sides by 4:

4x/4 = -8/4

Simplifying both sides gives:

x = -2

Therefore, the solution to the equation is x = -2.