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2x+1 pe 5 = x-1 pe 2​

Răspuns :

[tex] \frac{2x + 1}{5} = \frac{x - 1}{2} \\ \\ \frac{2(2x + 1)}{5} = x - 1 \\ \\ 2(2x + 1) = 5(x - 1) \\ \\ 2 \times 2x + 2 = 5x - 5 \\ \\ 4x + 2 = 5x - 5 \\ \\ 4x - 5x + 2 = 5x - 5x - 5 \\ \\ 4x - 5x + 2 = - 5 \\ \\ 4x - 5x + 2 - 2 = - 5 - 2 \\ \\ 4x - 5x = - 5 - 2 \\ \\ (4 - 5)x = - (5 + 2) \\ \\ - 1x = - 7 \\ \\ - x = - 7 \\ \\ - 1 \times ( - x) = - 1 \times ( - 7) \\ \\ x = - 1 \times ( - 7) \\ \\ x = 7 [/tex]