3z – 2 = 5z + 4

Answer 1

To solve the equation, we need to isolate the variable z.

First, let's subtract 3z from both sides of the equation:

3z - 3z - 2 = 5z - 3z + 4

This simplifies to:

-2 = 2z + 4

Next, let's subtract 4 from both sides of the equation:

-2 - 4 = 2z + 4 - 4

This simplifies to:

-6 = 2z

Finally, let's divide both sides of the equation by 2 to solve for z:

-6 / 2 = 2z / 2

This simplifies to:

-3 = z

Therefore, the solution to the equation is z = -3.