Multi Step Equations for Kids: Distribute, Combine and Solve for x (Grade 8 Math)

Hi, I'm Luna from DoodleBeez. Today we are solving multi step equations. These need a few moves to get x on its own. With a clear plan, each step is small and easy.

Here is the plan. First, tidy each side by distributing and combining like terms. Next, move the variables to one side. Then undo adding or subtracting. Last, undo multiplying or dividing. Whatever you do to one side, do to the other.

Let's solve three times the quantity x plus two equals twenty one. Distribute: three x plus six equals twenty one. Subtract six from both sides: three x equals fifteen. Divide both sides by three. x equals five.

Now combine like terms first. Two x plus five x plus one equals twenty two. Two x plus five x is seven x, so seven x plus one equals twenty two. Subtract one: seven x equals twenty one. Divide by seven. x equals three.

What if x is on both sides? Seven x minus three equals four x plus nine. Subtract four x from both sides: three x minus three equals nine. Add three: three x equals twelve. Divide by three. x equals four.

Always check your answer. Put four back in for x. On the left, seven times four minus three is twenty five. On the right, four times four plus nine is also twenty five. Both sides match, so x equals four is correct.

Now it's your turn. Solve two times the quantity x minus three equals ten. Pause and try. Distribute to get two x minus six equals ten. Add six to get two x equals sixteen. Divide by two. x equals eight.

Great job! Remember, tidy each side first, gather the variables on one side, undo adding and subtracting, then multiplying and dividing, and always check. Practice multi step equations in Middle School Math at doodlebeez.com. See you next time!