Question

determine whether the equation is a conditional equation, an identity, or a contradiction. give the solution set.
10(v + 2) - 4v = 2(3v + 2) - 8
is the equation a conditional equation, an identity, or a contradiction?
a. contradiction
b. identity
c. conditional equation
select the correct choice below and fill in any answer boxes present in your choice.
a. the solution set is
(type an integer or a fraction. use a comma to separate answers as needed.)
b. the solution is all real numbers.
c. the solution is the empty set.

Explanation:

Step1: Expand both sides

$10v + 20 - 4v = 6v + 4 - 8$

Step2: Simplify left side

$6v + 20 = 6v + 4 - 8$

Step3: Simplify right side

$6v + 20 = 6v - 4$

Step4: Isolate variable terms

$6v - 6v = -4 - 20$

Step5: Simplify to check consistency

$0 = -24$

Answer:

A. contradiction
C. The solution is the empty set.