8x – 7 > 6x + 12

Do not be daunted by the greater than sign. Just think of it like an equals sign.

Remember, the key is to get the 'x' on its own.

Collect the like terms as you normally would. As per convention, start with the 'x' terms. As they are both positive, take away the lower number from both sides.

8x – 7 > 6x + 12
8x – 6x – 7 > 6x – 6x + 12
2x – 7 > 12

Now, do the same with the numbers. As one number is negative, add this to both sides to cancel it out.
2x – 7 > 12
2x – 7 + 7 > 12 + 7
2x > 19

Now that you have all the x terms on one side and the number terms on the other side, you can sort this out.
Remember the 2x just means 2 multiplied by x. Thus, all you need to do is divide both sides by 2.

2x > 19
2 multiplied by x divided by 2 > 19 divided by 2
x > 19/2
x > 9.5

Ashley H. GCSE French tutor, 13 Plus  French tutor, GCSE German tutor...

6 months ago

Answered by Ashley, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£18 /hr

Sam F.

Degree: Economics with Placement (Bachelors) - Bath University

Subjects offered:Maths, Extended Project Qualification+ 1 more

Extended Project Qualification

“Studying for BSc Hons Economics, A level economics, maths and physics. Able to tutor GCSE/AS/A2 Economics and physics! Feel free to ask any questions:)”

MyTutor guarantee

£20 /hr

Chris S.

Degree: Psychology (Bachelors) - Nottingham University

Subjects offered:Maths, Psychology+ 1 more

-Personal Statements-

“*Over 25 completed MyTutor school tutorials* I am a reliable and enthusiastic maths and psychology tutor.”

£18 /hr

Tabitha M.

Degree: Modern Languages (Bachelors) - Newcastle University

Subjects offered:Maths, Spanish


“Hi!I am a first year student at the University of Newcastle studying Spanish and Japanese. I am patient, reliable and looking forward to hearing from you!”

About the author

Ashley H.

Currently unavailable: for regular students

Degree: Paramedic Science (Bachelors) - St. George's University

Subjects offered:Maths, German+ 4 more

-Personal Statements-
-Medical School Preparation-

“About me Hello! My name is Ash and I'm a first year Student Paramedic at St George's, University of London. I was previously studying Medicine at Durham University before I left having decided that becoming a doctor wasn't the right pa...”

MyTutor guarantee

You may also like...

Posts by Ashley

8x – 7 > 6x + 12

What 4 problems are highlighted here? A) Lack of water B) Pollution C) Sickness D) Poor leadership E) Hunger F) Somewhere to live G Lack of schools

Which statement is correct? A) The writer is planning a holiday. B) The writer was completely satisfied with the hotel. C) The hotel was not as good as the writer had hoped.

Why exactly did Petra's grandfather want to see the film?

Other GCSE Maths questions

How do i solve simultaneous equations?

How do you change the subject of the formula?

What is the best way to revise for my Maths GCSE?

Solve algebraically: 6a + b = 16 5a - 2b = 19

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss