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Szczegółowe wyjaśnienie:
[tex]a) \: 5x - 1 = 3 \cdot(2 - x ) + 1 = \\ 5x - 1 = 6 - 3x + 1 \\ 5x - 1 = 7 - 3x \\ 5x + 3x = 7 + 1 \\ 8 x= 8 \\ \underline{x = 1}[/tex]
[tex]b) \: - x + 3 = 2 \cdot(x - 3) = \\ - x + 3= 2x - 6 \\ - x - 2x = - 6 - 3 \\ - 3x = - 9 | \div - 3 \\ \underline{x = 3}[/tex]
[tex]c) \: 5x + 2 = 27 = \\ 5x = 27 - 2 \\ 5x = 25 | \div 25 \\ \underline{x = 5}[/tex]
[tex]d) \: - x + 8 = 2(x + 1) = \\ - x + 8 = 2x + 2 \\ - x - 2x = 2 - 8 \\ - 3x = - 6 | \div - 3 \\ \underline{x = 2}[/tex]
[tex]e) \: 5x + 1 = 2x + 82 = \\ 5x - 2x = 82- 1 \\ 3x = 81 | \div 3 \\ \underline{x = 27}[/tex]
[tex]f) \: - x + 8 = x - 6 = \\ - x - x = - 6 - 8 \\ - 2x = - 14 | \div - 2 \\ \underline{x = 7}[/tex]
[tex]g) \: 3 \cdot(x - 1) + 2 \cdot(x + 1) = 14 = \\ 3x - 3 + 2x + 2 = 14 \\ 5x - 1 = 14 \\ 5x = 14 + 1 \\ 5x = 15 | \div 5 \\ \underline{x = 3}[/tex]
[tex]h) \: 5x + 8 = x + 40 = \\ 5x - x = 40 - 8 \\ 4x = 32 | \div 4 \\ \underline{x = 8}[/tex]
