Question

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Answer 1

$1. \: 3x + 5 = 8x - 15 \\ 8x - 3x = 15 + 5 \\ 5x = 20 \\ x = 4 \\ 2. \: 3x + 16 = 8x - 9 \\ 8x - 3x = 16 + 9 \\ 5x = 25 \\ x = 5$

$3. \: 4 + 25y = 6 + 24y \\ 25y - 24y = 6 - 4 \\ y = 2 \\ 4. \: 4(x - 3) - 16 = 5(x - 5) \\ 4x - 12 - 16 = 5x - 25 \\ 5x - 4x = 25 - 12 - 16 \\ x = - 3$

$5. \: 5x + 27 = 4x + 21 \\ 5x - 4x = 21 - 27 \: \\ x = - 6$

$6. \: 4(3 - 2y) - 42 = 2(3 + 2y) \\ 12 - 8y - 42 = 6 + 4y \\ 12 - 42 - 6 = 4y + 8y \\ 12y = - 36 \\ y = - 3$

$7. \: 3(4x - 8) = 3x - 6 \\ 12x - 24 = 3x - 6 \\ 12x - 3x = - 6 + 24 \\ 9x = 18 = \\ x = 2$

$8. \: 1 - 5(1.5 + x) = 6 - 7.5x \\ 1 - 7.5 - 5x = 6 - 7.5x \\ 7.5x - 5x = 6 - 1 + 7.5 \\ 2.5x = 12.5 \\ x = 5$

$9. \: 3(5 - x) + 13 = 4(3x - 8) \\ 15 - 3x + 13 = 12x - 32 \\ 12x + 3x = 32 + 15 + 13 \\ 15x = 60 \\ x = 4$