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[tex] \qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf \dashrightarrow \: \dfrac{2x - 1}{5} = \dfrac{x - 2}{2} [/tex]

[tex]\qquad \sf \dashrightarrow \: 2(2x - 1) = 5(x - 2)[/tex]

[tex]\qquad \sf \dashrightarrow \: 4x - 2 = 5x - 10[/tex]

[tex]\qquad \sf \dashrightarrow \: 5x - 4x = -2 + 10[/tex]

[tex]\qquad \sf \dashrightarrow \: x = 8[/tex]

Value of x is 8

From the steps shown in the solution below; the solution to the problem is x = -1.

What is an equation?

An equation is any mathematical statement that contains the equality sign.

The first step here is to obtain the LCM of 2 and 5 which is 10. The next step is to multiply each term with the LCM of 2 and 5 which is 10. So;

10( 2x - 1)/5 = 10 (x - 2)/5

4x - 2 = 2x - 4

4x - 2x = -4 + 2

2x = -2

x = -1

The solution to the problem is x = -1.

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