[tex]35 - 7a + 28c = \\ 7 \times 5 - 7 \times a + 7 \times 4c = \\ 7(5 - a + 4c)[/tex]
[tex]16m - 12 - 31m + 8 = \\ ( - 12 + 8) + (16 - 31)m = \\ - 4 - 15m[/tex]
1)
[tex]5x = 32 + x \\ 5x - x = 32 \\ 4x = 32 \\ x = 32 \div 4 \\x = 8[/tex]
2)
[tex] - 3(x - 1) = 24 - 10x \\ - 3x + 3 = 24 - 10x \\ - 3x + 10x = 24 - 3 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]
3)
[tex] \frac{x}{8} - \frac{x}{12} = - \frac{1}{3} \: \: | \times 24\\ 3x - 2x = - 8 \\ x = - 8[/tex]
4)
[tex] \frac{x - 2.4}{6} = \frac{x + 0.6}{11} \\ 11(x - 2.4) = 6(x + 0.6) \\ 11x - 26.4 = 6x + 3.6 \\ 11x - 6x = 3.6 + 26.4 \\ 5x = 30 \\ x = 30 \div 5 \\ x = 6[/tex]
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Answers & Comments
2)
[tex]35 - 7a + 28c = \\ 7 \times 5 - 7 \times a + 7 \times 4c = \\ 7(5 - a + 4c)[/tex]
3)
[tex]16m - 12 - 31m + 8 = \\ ( - 12 + 8) + (16 - 31)m = \\ - 4 - 15m[/tex]
4)
1)
[tex]5x = 32 + x \\ 5x - x = 32 \\ 4x = 32 \\ x = 32 \div 4 \\x = 8[/tex]
2)
[tex] - 3(x - 1) = 24 - 10x \\ - 3x + 3 = 24 - 10x \\ - 3x + 10x = 24 - 3 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]
3)
[tex] \frac{x}{8} - \frac{x}{12} = - \frac{1}{3} \: \: | \times 24\\ 3x - 2x = - 8 \\ x = - 8[/tex]
4)
[tex] \frac{x - 2.4}{6} = \frac{x + 0.6}{11} \\ 11(x - 2.4) = 6(x + 0.6) \\ 11x - 26.4 = 6x + 3.6 \\ 11x - 6x = 3.6 + 26.4 \\ 5x = 30 \\ x = 30 \div 5 \\ x = 6[/tex]