How do I solve an equation where there are unknowns on both sides of the equation?

Golden rule: Do the Same thing to both sides of the equation Approach in 4 steps 1) Multiply out any brackets 2) Gather the like terms (Use analogy of apples and oranges) 3) Get all unknown terms to one side of the equation and all numbers to the other 4) Solve ( 5) Substitute a value back into unknown to CHECK ) Example  4(x+2) = 2x + 7 1) Expand --->  4x + 8 = 2x + 7 2) Like terms already together 3) Get unknown terms to same side (using river analogy) --> 4x-2x = 7-8 4) 2x = -1 therefore x = -1/2 5) CHECK answer by putting -0.5 into original equation

CB
Answered by Chris B. Maths tutor

3699 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations: 2x-3y = 24 and 6x+2y = -5


Find the point(s) of intersection of the curve y=x^2+7x+14 and y=2x+8:


Make s the subject of: v^2= u^2+2as


Draw the graph of y=2-3x for values of x from -3 to 3.


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