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

Answered by Kyle B. Maths tutor

13342 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Simplify Fully 4(2x+1)-2(x-5) .


There are 7 blue pens, 4 green pens and 6 red pens in a box. One pen is taken at random from the box. Write down the probability that this pen is blue


How do I solve simultaneous equations given a linear and a quadratic equation?


The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences