Question

Solve for x. Show each step of the solution
6(3 – x) + 36 = 98 - 2(3x + 22)

Answer 1

all real numbers

Explanation:

− 6 x + 54=− 6 x + 54

Answer 2

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 :

`6(3-x)+36=98-2(3x+22)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

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 :

`6(3-x)+36=98-2(3x+22)\\\\\Rightarrow 18-6x+36=98-6x-44\\\\\Rightarrow 54-6x=54-6x\\\\\Rightarrow 0=0,` which is always true.

Thus, the given equation has infinite number of solutions. The equation is true for any real value of x.