2(x-1)=3(2x-1)3-5(x-1)=x - 2

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вопрос

Expanding each side of the equation:

2(x-1) = 3(2x-1)
2x - 2 = 6x - 3

3 - 5(x-1) = x - 2
3 - 5x + 5 = x - 2

Solving for x:

2x - 2 = 6x - 3
2 + 3 = 6x - 2x
5 = 4x
x = 5/4

3 - 5x + 5 = x - 2
8 - 5(5/4) = x - 2
8 - 25/4 = x - 2
32/4 - 25/4 = x - 2
7/4 = x - 2
x = 7/4 + 2
x = 15/4

Thus, the solution to the system of equations is x = 15/4.