Combining Like Terms

x + x=2x
2x + x=3x
x + 2x=3x
2x + 2x=4x
3x + 2x=5x
x + x + x=3x
2x + x + x=4x
2x + 2x + x=5x
2x + 2x + 4x=8x
4x + 3x + 2x=9x

Other letters may be used

a + a=2a
2b + b=3b
4c + 2c=6c
5y + 3y=8y
2z + z=3z
w + w + w=3w
2g + 2g + g=5g
4t + 3t + 2t=9t
v + 2v + 3v=6v
5q + 3q + 2q=10q

With different letters

x + x + y=2x + y
y + y + z=2y + z
2w + w + s=3w + s
r + 3r + 2t=4r + 2t
a + b + 2a=3a + b

With negatives

3x - x=2x
4y - y=3y
7w - 2w=5w
9r - 4r=5r
22w - 3w=19w
- 3x - x=- 4x
- 4y - y=- 5y
- w - 6w=- 7w
- r - 2r=- 3r
- 2p - 3p=- 5p
5x + 3x - x=8x - x
 =7x
3u + 4u - u=7u - u
 =6u
8y + 9y - 2y=17y - 2y
 =15y

With negatives
and different letters

5x - x + y=4x + y
2y + y - z=3y - z
6u - 2u + v=4u + v
r - 3r + 8t=- 2r + 8t
- w - 2w + 3y=- 3w + 3y

 
 
Edited by Dr David Cornelius an Independent Private Maths Tutor with over 25 years of experience and The Secretary of The Association of Tutors in the UK for 15 years.
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