Question Details

If 5x73+2=4x34+4x, then the value of (8x + 5) is

Options

A

6

B

7

C

9

D

13

Show Answer

Correct Answer :

Option A

6

Solution :

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The correct option is 6.

We are given the linear equation:

5x-73+2=4x-34+4x

Step 1: Simplify the Left-Hand Side (LHS)

LHS=5x-73+2=5x-7+63=5x-13

Step 2: Simplify the Right-Hand Side (RHS)

RHS=4x-34+4x=4x-3+16x4=20x-34

Step 3: Equate LHS and RHS and solve for x

5x-13=20x-34

Cross-multiplying both sides:

4(5x-1)=3(20x-3)

20x-4=60x-9

Rearranging the terms:

60x-20x=9-4

40x=5

x=540=18

Step 4: Find the value of (8x + 5)

8x+5=818+5=1+5=6

Thus, the value of (8x + 5) is 6.

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