Equations with x on both sides

Difficulty Starter · Set gdsrzk

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1
Solve for x:5x=3x+20x =
2
Solve for x:4x=2x+12x =
3
Solve for x:4x=2x+6x =
4
Solve for x:5x=2x+18x =
5
Solve for x:5x=2x+12x =
6
Solve for x:7x=3x+24x =
7
Solve for x:5x=2x+24x =
8
Solve for x:7x=5x+6x =
9
Solve for x:7x=3x+32x =
10
Solve for x:6x=2x+20x =
11
Solve for x:6x=4x+12x =
12
Solve for x:4x=2x+12x =
13
Solve for x:6x=4x+20x =
14
Solve for x:4x=2x+4x =
15
Solve for x:5x=3x+16x =
16
Solve for x:6x=4x+8x =
17
Solve for x:6x=3x+21x =
18
Solve for x:6x=2x+32x =
19
Solve for x:7x=5x+14x =
20
Solve for x:5x=2x+12x =

What is in this set

The numbers in this set run from 2 to 45.
Every problem in it will have the unknown on both sides.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 100% of the problems: the x terms were never gathered.
Answers are a whole number.

Drawing 240 problems from this page produced 79 different ones, 33% — so a sheet of 20 will come back to a problem you have seen — there are only so many sensible ones of this kind.

The same skill, harder or easier

We would put this in front of a grade 8 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.