1) Ryacas Use the Ryacas package solve as shown below. (Thanks to @mikldk for improvement to last line.)
library(Ryacas)
eq <- "((2300+1900*1)+(x+2300+1900*1)*0.002)/(600-400) ==1 " # from question
res <- solve(ysym(eq), "x")
as_r(y_rmvars(res)) # extract and convert to R
## [1] -2004200
if eq has R variables in it, here h is referenced in eq2, then use eval to evaluate the result.
h <- 2300
eq2 <- "((h+1900*1)+(x+2300+1900*1)*0.002)/(600-400) ==1 " # from question
res2 <- solve(ysym(eq2), "x")
eval(as_r(y_rmvars(res2)))
## [1] -2004200
2) Ryacas0 or using eq from above with the Ryacas0 package:
library(Ryacas0)
res <- Solve(eq, "x")
eval(Expr(res)[[1:3]]) # convert to R
## [1] -2004200
3a) Base R In light of the fact that this is a linear equation and the solution to the following where A is the slope and B is the intercept:
A * x + B = 0
is
x = - B / A
if we replace x with the imaginary 1i and then move the rhs to the lhs we have that B and A are the real and imaginary parts of that expression. No packages are used.
r <- eval(parse(text = sub("==", "-", eq)), list(x = 1i))
-Re(r) / Im(r)
## [1] -2004200
3b) If we move the rhs to lhs then B equals it at x=0 and A equals the derivative wrt x so another base R solution would be:
e <- parse(text = sub("==", "-", eq))
- eval(e, list(x = 0)) / eval(D(e, "x"))
## [1] -200420