Solve 5x - 2= 3x + 7

1 - First we need to get all the x values on one side and all the numbers on the otherside of the equals sign.

2 - We then need simplify the equation to get 1 x.

Solve 5x - 2= 3x + 7

1 - Remember, whatever you do to one side of the equation, you must do to the otherside of the equation. We want to get rid of the -2. In order to do this we can add 2. This is because -2 + 2 = 0. 

5x - 2= 3x + 7

ADD 2                  (5x - 2 + 2 = 3x + 7 +2)

5x = 3x +9

Now we need to get the x's on the same side, let's say the left hand side. In order to do this, we subtract 3x.

5x = 3x +9

SUBTRACT 3x            (5x - 3x = 3x - 3x + 9)

2x = 9

2 - We now have the x's on one side and the numbers on the other. We next need to simplify so we can get x on its own. To do this we can divide by 2 because 2x/2 = x

2x = 9

DIVIDE BY 2             (2x/2 = 9/2)

x = 4.5

Gadah A. GCSE Maths tutor, 11 Plus Maths tutor, 13 plus  Maths tutor,...

9 months ago

Answered by Gadah, a GCSE Maths tutor with MyTutor

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


£18 /hr

Bukky O.

Degree: Maths with Finance (Bachelors) - Exeter University

Subjects offered:Maths, Chemistry


“Hi, I'm Bukky (pronounced book-ee) and my aim is to not only help your child excel in Maths but also hopefully enjoy it too”

£18 /hr

Gabrielle F.

Degree: Philosophy, Politics and Economic (Bachelors) - Kings, London University

Subjects offered:Maths, English+ 2 more

.TSA. Oxford.

“Hi, I'm an enthusiastic tutor with experience in multiple subjects. I am currently studying a BSc in Philosophy, Politics and Economics at Kings College ”

£20 /hr

Xanthe W.

Degree: Biological Sciences with a Year in Industry/Research (Bachelors) - Imperial College London University

Subjects offered:Maths, Chemistry+ 1 more


“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

About the author

Gadah A.

Currently unavailable: for regular students

Degree: Dentistry (Bachelors) - Birmingham University

Subjects offered:Maths


“Hi! I'm Gadah and am currently a Dental Student at the University of Birmingham. I have always been interested in why things happen and always want to understand the reasoning behind explanaitions. I believe that it's best to understa...”

MyTutor guarantee

You may also like...

Posts by Gadah

Factorise 2b^2 + 6b

Solve 5x - 2= 3x + 7

Solve this inequality 4y - 3 ≥ 5

Other GCSE Maths questions

Simplify: 2x +6y +2y - x

Rearrange the equation y=3x+2 to make x the subject.

Solve the simultaneous equation: 2x + y = 7 and 3x - y = 8

How should I go about factorising x^2+5x+6?

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