Answer:
all real numbers
Step-by-step explanation:
− 6 x + 54=− 6 x + 54
Answer: The given equation has infinite number of real solutions.
Step-by-step explanation: We are given to solve the following equation for the unknown x :
[tex]6(3-x)+36=98-2(3x+22)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given equation for x, we must take terms involving x on one side and the constant terms on the other side of the equation.
The solution of equation (i) is as follows :
[tex]6(3-x)+36=98-2(3x+22)\\\\\Rightarrow 18-6x+36=98-6x-44\\\\\Rightarrow 54-6x=54-6x\\\\\Rightarrow 0=0,[/tex] which is always true.
Thus, the given equation has infinite number of solutions. The equation is true for any real value of x.
