Sure, I'd be happy to help you learn how to solve multi-step equations! Here are the general steps:
Simplify each side of the equation by using the distributive property or combining like terms.
Use inverse operations to isolate the variable on one side of the equation. The inverse operation is the opposite of the original operation. For example, if the original operation is addition, you would use subtraction as the inverse operation.
Continue applying inverse operations until the variable is isolated on one side of the equation.
Check your solution by substituting it back into the original equation to make sure it works.
Here's an example to illustrate the process:
Solve for x: 3x + 5 = 11
Simplify each side by subtracting 5 from both sides: 3x = 6.
Isolate x by dividing both sides by 3: x = 2.
So the solution is x = 2.
Remember to always check your answer by substituting it back into the original equation to make sure it works:
3(2) + 5 = 11
6 + 5 = 11
11 = 11
This confirms that the solution is correct.