Steply

Simplify 2x + x + 4x

Step by step, with the reason for every step · Simplify expressions · Algebra 1

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

Your turn

Try this one yourself, then check:

Simplify 3x + x + 7x
Show the answer
11x

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