solve 4(4x + 3)=21x + 10 - 5x + 2. select the correct choice below and, if necessary, fill in the answer box…

solve 4(4x + 3)=21x + 10 - 5x + 2. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. x = b. the equation has infinitely many solutions. c. the equation has no solution.

solve 4(4x + 3)=21x + 10 - 5x + 2. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. x = b. the equation has infinitely many solutions. c. the equation has no solution.

Answer

Explanation:

Step1: Expand the left - hand side

$4(4x + 3)=16x+12$

Step2: Simplify the right - hand side

$21x + 10-5x + 2=(21x-5x)+(10 + 2)=16x+12$

Step3: Analyze the equation

The equation becomes $16x+12 = 16x+12$. This is an identity, which means it is true for all values of $x$.

Answer:

B. The equation has infinitely many solutions.