 Equation Solver

Write a program that can solve linear equations with one variable.
Input
The input will contain a number of equations, each one on a separate line. All equations are strings of less than 100 characters which strictly adhere to the following grammar (given in EBNF):
Equation := Expression '=' Expression
Expression := Term { ('+'  '') Term }
Term := Factor { '*' Factor }
Factor := Number  'x'  '(' Expression ')'
Number := Digit  Digit Number
Digit := '0'  '1'  ...  '9'Although the grammar would allow to construct nonlinear equations like "x*x=25", we guarantee that all equations occuring in the input file will be linear in x. We further guarantee that all subexpressions of an equation will be linear in x too. That means, there won't be test cases like x*xx*x+x=0 which is a linear equation but contains nonlinear subexpressions (x*x).
Note that all numbers occuring in the input are nonnegative integers, while the solution for x is a real number.
Output
For each test case, print a line saying "Equation #i (where i is the number of the test case) and a line with one of the following answers:
If the equation has no solution, print "No solution.".
If the equation has infinitely many solutions, print "Infinitely many solutions.".
If the equation has exactly one solution, print "x = solution" where solution is replaced by the appropriate real number (printed to six decimals).
Print a blank line after each test case.
Sample Input
x+x+x=10
4*x+2=19
3*x=3*x+1+2+3
(426*7)*x=2*510Sample Output
Equation #1
x = 3.333333Equation #2
x = 4.250000Equation #3
No solution.Equation #4
Infinitely many solutions.