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Answered

What is the solution set for 4x−3=2x+5 , given the replacement set {2, 3, 4, 5} ?

A.x=2

Bx=3

C.x=4

D.x=5

Verified Answer :

the answer is C. x=4

Answer:

\(C.x=4\)

Step-by-step explanation:

We are given that an equation

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

The replacement set ={2,3,4,5}

We have to find the solution of given equation.

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

\(4x-2x-3=5\)

Using subtraction property of equality

\(2x-3=5\)

Combine like terms

\(2x=5+3\)

Subtraction property of equality

\(2x=8\)

Addition property of integers.

\(x=\frac{8}{2}=4\)

Division property of equality

Hcene, the solution of given equation is  given by

x=4

Therefore, option C is true.