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

HE
Answered by Hugh E. Maths tutor

4337 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

I'm struggling with approaching questions in Maths, I just don't know where to start. What should I do?


A curve has an equation of y=2x^2 + 7x -8 . Find the co-ordinates of the turning point


The ratio of Adam's age to Bob's age is 1:2. In 12 years time, the ratio of their ages will be 3:5. Calculate their current ages.


Make x the subject of the following formula: x/2 + 3 = y - 2


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning