501 views

### Solve this equation; 5x - 4 = 3x + 7

In order to solve equations of x it is necessary to move all the Xs over to one side and the other numbers over to the other side;

5x - 4 = 3x + 7

As 5x is greater than 3x it makes sense to subtract 3x from both sides so that any negative Xs are avoided, this changes the equation to:

2x - 4 = 7

The next step is to add 4 to both sides to cancel out the -4 on the left hand side;

2x = 11

Finally dividing both x and 11 by 2 will give the value of x;

x = 11/2 or x = 5.5

*A key thing to remember when solving equations is whatever you do to one side you MUST do to the other, e.g. if you divide one side by 3 you must divide the other side by 3, or if you add 6 to one side you must add 6 to the other side. This ensures that the equation stays correct as both sides continue to equal each other.

11 months ago

Answered by Kate, a GCSE Maths tutor with MyTutor

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

#### 781 SUBJECT SPECIALISTS

£18 /hr

Degree: Environmental Geoscience (Bachelors) - Durham University

Subjects offered:Maths, Geology+ 2 more

Maths
Geology
Geography
Chemistry

“Third year Earth Sciences student at Durham; specialise in geochemistry and tutor in Earth sciences, Chemistry and Maths”

Trusted by schools

|  4 completed tutorials

£18 /hr

Degree: Chemical Engineering MEng (Integrated Masters) - Newcastle University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“I love maths, chemistry and biology and my passion for these subjects is something that will help teach students.”

MyTutor guarantee

£20 /hr

Degree: Economics (Bachelors) - Cambridge University

Subjects offered:Maths, Economics+ 2 more

Maths
Economics
-Personal Statements-
-Oxbridge Preparation-

“Economics Graduate from Cambridge, wanting to share my passion for the discipline”

Currently unavailable: for regular students

Degree: Psychology (Bachelors) - Birmingham University

Subjects offered:Maths, Psychology

Maths
Psychology

“Who am I?  My name is Kate and I am currently in my first year studying BSc Psychology at the University of Birmingham. From 2009 to 2016 I attended Altrincham Grammar School for Girls and completed both my GCSEs and A Levels there; I ...”

Trusted by schools

|  13 completed tutorials

### You may also like...

#### Posts by Kate

Insert one pair of brackets so that this calculation is correct; 3 x 6 + 5 - 1 = 32

Solve this equation; 5x - 4 = 3x + 7

#### Other GCSE Maths questions

Solve the simultaneous equations y=2x and y=x+3

Solve the simultaneous equation: 2x + 3y = 6, 3x + 2y = 5.

How do I remember the area of a circle if it's not in the formula book?

How do I simplify fully (p^3 x p^4)/p^2?

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