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We have the Linear Equation as follows:

4x + 7 = x + 2

4x-x = 2-7(transpose x to LHS and 7 to RHS)

3x = -5

x is equal to which is neither a fraction nor an integer.

Option(a) is incorrect because:

Explanation

We have the Linear Equation as follows:

3x + 2 = 5x + 2

3x-5x = 2-2(transpose 5x to LHS and 2 to RHS)

-2x = 0

Here x is 0 and it is an integer.

Option (b) is incorrect because:

Explanation

We have the Linear Equation as follows:

4x-18 = 2

4x = 2 + 18 (transpose 18 to RHS)

4x = 20

x = 5

Here x is 5 and it is an integer.

Option (d) is incorrect because:

Explanation

We have the Linear Equation as follows:

5x-8 = x + 4

5x-x = 8 + 4(transpose x to LHS and 8 to RHS)

4x = 12

x = 3

Here x is 3 which is an integer.

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