Balanceo de ecuaciones

public static void main(String[] args) {
		Stack<String> pila = new Stack<String>();
		int c1=0;
		int c2=0;
		int c3=0;
		String xp = "{(a+b)+(c-d)*6/8} + {[r*3]+[d*r]}";
		System.out.println(xp);
		for (int x = 0; x < xp.length(); x++) {
			String a1 = String.valueOf(xp.charAt(x));
			pila.push(a1);
			if (!(a1 == "}") || !(a1 == "]") || !(a1 == ")") || !(a1 == "{") || !(a1 == "[") || !(a1 == "(")) {
				pila.pop();
				System.out.println(pila);
			} else {
				for (int x1 = 0; x1 < pila.size(); x1++) {
					if (pila.get(x1) == "{") {
						c1++;
						if (!(pila.search("}")==-1)) {
							c1=c1-1;
						}
					}  else if(pila.get(x1) == "[") {
						c2++;
						if (!(pila.search("]")==-1)) {
							c2=c2-1;
						}
					} else if(pila.get(x1) == "(") {
						c3++;
						if (!(pila.search(")")==-1)) {
							c3=c3-1;
						}
					}
				}
			}
		}
		if (c1==0 || c2==0 || c3==0) {
			System.out.println("La ecuacion esta balanciada");
		} else {
			System.out.println("La no ecuacion esta balanciada");
		}
	}