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determine whether each equation is an identity, a conditional equation,…

Question

determine whether each equation is an identity, a conditional equation, or a contradiction. give the solution set.
5x - 1 = 2(2x + 2) - 3
is the equation a conditional equation, an identity, or a contradiction?
a. identity
b. contradiction
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 right-hand side

$5x - 1 = 4x + 4 - 3$

Step2: Simplify right-hand side

$5x - 1 = 4x + 1$

Step3: Isolate x terms

$5x - 4x = 1 + 1$

Step4: Solve for x

$x = 2$

Answer:

C. conditional equation
A. The solution set is $\{2\}$