Solve 4(3x - 2) = 2x - 5. (3 marks)

To solve this linear equation, our ultimate goal is to end up with our unknown "x" value on one side and our number on the other side of this equation. To get to this stage, there are three steps.Firstly, since we have a bracketed term on the LHS, we need to expand these brackets. Doing so yields:12x - 8 = 2x - 5Secondly, we need to group our "x" terms and our numeric terms. To do so, we are essentially trying to cancel the 2x term from the RHS and the 8 on the LHS, which is done through addition and subtraction. Subtracting 2x from both sides and adding 8 to both sides gives:12x - 2x = -5 + 810x = 3Finally, we want to remove the 10 from the front of our last remaining "x" term. This is done by dividing both sides by 10, which gives:x = 3/10 = 0.3

Answered by Hugh E. Maths tutor

3370 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are 31 days in January. January 21st 2015 was a Wednesday. What day of the week was February 8th 2015?


4x^2+5x+2=10


A bag has 3 red balls and 5 green balls. I take out 2 balls, without replacing them. What is the probability of choosing at least one red ball? Give your answer to 3 decimal places.


Rearrange the following to make 'W' the subject: aw + 3 = 4(bw + 5)


We're here to help

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