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...

2 weeks ago

Answered by Ashley, a GCSE Maths tutor with MyTutor

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


PremiumJoe C. A Level Maths tutor, GCSE Maths tutor
View profile
£22 /hr

Joe C.

Degree: Mathematics (Masters) - Bristol University

Subjects offered: Maths, Further Mathematics

Further Mathematics

“I'm a third year student at Bristol University studying a Masters Degree in Mathematics. I try to make my tutorials engaging, and tailor them to your individual needs so that we are working towards the grade you aspire to achieve! I'v...”

PremiumMatthew K. GCSE Maths tutor, GCSE Physics tutor
View profile
£22 /hr

Matthew K.

Degree: General Engineering (Masters) - Warwick University

Subjects offered: Maths, Physics


“About MeI am a student studying a general engineering masters degree at Warwick University. I amfun and friendly and have a passion for maths and physics with a little bit of rugby on the side.I helped my brother whilst he was ...”

Charles B. GCSE Classical Civilisation tutor, GCSE Latin tutor, GCSE ...
View profile
£18 /hr

Charles B.

Degree: Classics (Bachelors) - Durham University

Subjects offered: Maths, Latin+ 1 more

Classical Civilisation

“About me I'm a passionate classicist particularly focused on ancient military warfare  currently studying classics at Durham University. I've been studying Latin and  Ancient History since I was 9 years old, picking up Ancient Greek at ...”

About the author

Ashley H. GCSE French tutor, 13 Plus  French tutor, GCSE German tutor...
View profile
£18 /hr

Ashley H.

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

The price of a book is £4. In a sale the price is reduced by 30%. Work out the sale price.

Simplify and solve the following equation: x^2 -8x +15=0

ABC is a right angled triangle. D is the point on AB such that AD = 3DB. AC = 2DB and angle A = 90 degrees. Show that sinC = k/√20 where k is an integer. Find the value of k

solve z^4=2(1+isqrt(3)) giving roots in form r(cos(theta)+isin(theta))

View GCSE Maths tutors


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