Step by step
The question
Question: simplify 2x + x + 4x.
Simplify means: write it shorter, with the same value.
2x + x + 4x
1 Group like terms
Terms are the parts between the + and − signs.
Like terms are the same kind: same letters, same powers.
All the x terms go together.
Each colour is one kind.
like terms = same letters,
same powers
2x + x + 4x is 7x.
2x + x + 4x = 7x
So the expression is 7x.
= 7x
2 Check
Let's check.
We pick a number for each letter: x = 2.
We put it into the start.
Start: 2 × 2 + 2 + 4 × 2 = 4 + 2 + 8 = 14
Now into our answer.
Answer: 7 × 2 = 14
Both give 14.
Same value, so 7x is right!
Both give 14
Let's look back.
First: group like terms.
Last: check.
Answer
= 7x