Question

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Answer 1

a)

$10x - 10 = 5(x + 2) \\ 10x - 10 = 5x + 10 \\ 10x - 5x = 10 + 10 \\ 5x = 20 \\ x = 20 \div 5 \\ x = 4$

b)

$4(x + 5) = 2x + 34 \\ 4x + 20 = 2x + 34 \\ 4x - 2x = 34 - 20 \\ 2x = 14 \\ x = 14 \div 2 \\ x = 7$

c)

$10(x + 2) = 8x + 22 \\ 10x + 20 = 8x + 22 \\ 10x - 8x = 22 - 20 \\ 2x = 2 \\ x = 2 \div 2 \\ x = 1$

d)

$5(x + 4) = 3(x + 10) - 8 \\ 5x + 20 = 3x + 30 - 8 \\ 5x - 3x = 30 - 8 - 20 \\ 2x = 2 \\ x = 2 \div 2 \\ x = 1$

e)

$x + 19 = 2(x + 6) \\ x + 19 = 2x + 12 \\ x - 2x = 12 - 19 \\ - 1x = - 7 \\ x = - 7 \div ( - 1) \\ x = 7$

f)

$4(x + 10) = 2(x + 22) \\ 4x + 40 = 2x + 44 \\ 4x - 2x = 44 - 40 \\ 2x = 4 \\ x = 4 \div 2 \\ x = 2$

g)

$6(x + 5) = 7x + 25 \\ 6x + 30 = 7x + 25 \\ 6x - 7x = 25 - 30 \\ - 1x = - 5 \\ x = - 5 \div ( - 1) \\ x = 5$

h)

$7(x + 4) = 5(x + 6) + 6 \\ 7x + 28 = 5x + 30 + 6 \\ 7x - 5x = 30 + 6 - 28 \\ 2x = 8 \\ x = 8 \div 2 \\ x = 4$

i)

$4(x + 2) = 20(x - 6) \\ 4x + 8 = 20x - 120 \\ 4x - 20x = - 120 - 8 \\ - 16x = - 128 \\ x = - 128 \div ( - 16) \\ x = 8$

j)

$5(x + 5) = 2x + 40 \\ 5x + 25 = 2x + 40 \\ 5x - 2x = 40 - 25 \\ 3x = 15 \\ x = 15 \div 3 \\ x = 5$