1499 views

Solve 5x-6=3x+7

The key point to remember when dealing with an algebra equation is that whatever operation you carry out on one side of the equation, you MUST do to the other side as well.

To solve this equation, we first want to collect like terms onto one side of the equation, in this case the 'x' terms. To do this, we will subtract the '3x' term from BOTH sides of the equation:

5x-3x-6=7

To complete the process of collecting like terms, we now need to add '6' to both sides of the equation, so that we are left with only 'x' terms on the left hand side :

5x-3x=7+6

Now that we have collected all like terms, we can simplify the equation, which becomes:

2x=13

Finally, to solve the equation, we want to find the value of 'x' on its own. We have the value for 2x, so we can divide BOTH sides of the equation by 2 to solve for x:

x=13/2 or x=6.5

1 year ago

Answered by Kyle, a GCSE Maths tutor with MyTutor

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

778 SUBJECT SPECIALISTS

£18 /hr

Degree: Aeronautics and Astronautics (Integrated Masters) - Southampton University

Subjects offered:Maths, Physics+ 3 more

Maths
Physics
Extended Project Qualification
Chemistry
-Personal Statements-

“Aero and Astro Engineering student specialising in Maths and Physics A-level and GCSE.”

MyTutor guarantee

|  1 completed tutorial

£18 /hr

Degree: Chemistry (Masters) - Imperial College London University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“Oxford PhD student eager to demystify chemistry and boost student confidence through personalised lessons.”

Trusted by schools

|  3 completed tutorials

£24 /hr

Degree: Mechanical Engineering (Integrated Masters) - Imperial College London University

Subjects offered:Maths, Spanish+ 5 more

Maths
Spanish
Physics
English Literature
English Language
Economics

“I am a passionate, energetic and motivating student with a genuine interest in all my subjects, hoping to inspire and help students achieve their end goals.”

MyTutor guarantee

Currently unavailable: for regular students

Degree: Economics & Mathematics (Bachelors) - York University

Subjects offered:Maths

Maths

“About Me Hi! I'm Kyle, and I've just completed my degree in Maths & Economics at the University of York. I have always loved learning about and teaching maths, and have a broad understanding of the topics covered at GCSE and A Level. ...”

MyTutor guarantee

You may also like...

Other GCSE Maths questions

Solve these simultaneous equations, (1) [5a - 3b = 16], (2) [2b - 3a = -9] ?

Do you have any tips for revising for my GCSE Maths Exam?

How do I solve a quadratic equation by completing the square?

The line L passes through the points (-2,3) and (6,9). How do I find the equation of the line that is parallel to L and passes through the point (5,-1)?

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