Solve ((6+x)/2) + ((2-3x)/3) = 31/6

To solve this first we need to simplify the equation by multiplying the denominators by a common factor. If we multiply both sides of the equation by 6 we shall get an equation that is expressed with denominators. Equation then becomes:3(6+x) + 2(2-3x) = 31Expand the multiplied brackets:18+ 3x + 4 - 6x = 31 Collect Like terms ( 3x-6x = -3x) & (18+4 = 22)22-3x = 31Re arrange-3x = 9x = -3
End of Solution.

EJ
Answered by Ellis J. Maths tutor

3799 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Finding Roots of Quadratic Equations


The value of a new car is £18,000. The value of the car decreases by 25% in the first year and 12% in each of the next 4 years. Work out the value of the car after 5 years?


A ladder of length 6.5m is leaning against a vertical wall. The foot of the ladder is 1.5m from the wall. Calculate the distance the ladder reaches up the wall to 3 significant figures.


A box contains 7 caramel doughnuts. They have masses of 56 g, 67 g, 45 g, 56 g, 58 g, 49 g and 50 g. Find the median, mean and mode values of these masses. Bonus: What mass of doughnut could be added to the box to make the mean mass = 61 g.


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