Exercise algebra.equations.linear.balance
Description
Solve a linear equation using only balance rules.
Examples
easy (20)
5*x+3 == 18
11*x-12 == 21
19-3*x == -5
-12+5*x == 33
15-9*x == 6
4*x+18 == 0
11*x-12 == -34
-2*x-3 == -4
6*x-12 == 2
-4*x-13 == -11
6*x-2 == 2*x+14
3+6*x == 3*x+24
5*x+7 == 2*x-10
2*x-8 == 18-x
4*x-6 == 7*x-14
-1-5*x == 3*x-20
4*x-7 == -5*x-24
4*x-18 == 14+11*x
17 == 4-10*x
-5*x+6 == 2-3*x
medium (30)
4*(x-1) == 11*x-12
4*(x-4) == 5*(2*x+1)
2*(5-3*x) == 6-x
4*x-(x-2) == 12+5*(x-1)
-3*(x-2) == 3*(x+4)-7
3*(4*x-1)+3 == 7*x-14
4*(4*x-1)-2 == -3*x+3*(2*x-5)
2*x-(3*x+5) == 10+5*(x-1)
-5*(x+1) == 9*(x+4)-5
18-2*(4*x+2) == 7*x-4*(4*x-2)
1/2*x-4 == 2*x+2[1/2]
1/4*x+1/2 == 5/2*x+2
1/4*x-3/4 == 2*x+1/2
-1/2*x+3/4 == 5/2*x+3
-1/2*x+1[1/2] == 2*x-5
-1/3*x+3/4 == 1/4*x+1/6
3/4*x-1/3 == 2/3*x-3/4
2/5*x-1/4 == 1/2*x+3/4
2/3*x-2 == 1/5*x-3/5
(-1[2/5])*x+3[1/2] == 3/5*x+9/10
1/4*(x-3) == 1/2*x-4
(x+3)/2 == 5*(1/2*x+1[1/2])
1/2*(7-2/3*x) == 2+1/9*x
3/4*x-(x-1) == 3+2[1/2]*(x-1)
-5/4*(x-7) == 3/4*(x+2)-4[1/2]
3*(1/5*x-1)+5 == 7*x-14
(5*x-1)/6-2 == -4*x+(3*x-6)/2
2*x-(2*x+2)/5 == 12+(x-1)/6
(-3*(x+2))/6 == 9*(2/3*x+1/3)-5/3
1-(4*x+2)/3 == 3*x-(5*x-1)/4