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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.
Learn more about equations: https://brainly.com/question/2263981