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.

KE
Answered by Kate E. Maths tutor

13405 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

solve; (6x - 2)/2 - (4x+7)/3 = 1-x


What is the easiest way to expand quadratic equations?


The are 10 coloured balls in a bag, 4 red, 3 green, 2 orange and 1 yellow. John picks out balls and replaces them one at a time. What is the probability that the first two he picks are red?


Fahima buys 2 packets of bread rolls costing £1.50 for each packet 1 bottle of ketchup costing £1.60 3 packets of sausages Fahima pays with a £10 note. She gets 30p change. Fahima works out that one packet of sausages costs £2.30 Is Fahima right?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences