Question

1. An equation is given below.6 - 2(4- x) + 3x = 5x - 2Based on the equation, which of the following is a valid statement?A- Any real number value of x satisfies the equation.B- The only value that satisfies the equation is x = 3.C- The only value that satisfies the equation is x = 0.D- There are no values of x that satisfy the equation.

Answer 1

To know the answer, we need to solve the equation for x as:

6 - 2(4 - x) + 3x = 5x - 2

6 - 2*4 - 2*(-x) + 3x = 5x - 2 distributive property

6 - 8 + 2x + 3x = 5x - 2 Sum ike terms

-2 + 5x = 5x - 2

5x - 2 = 5x -2

Since we get the same expression on both sides, x can take any value and the equation will be satisfied.

Answer: Any real number value of x satisfies the equation.