Question

6.

Answer 1

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5 ) Go...

$8x - 17 = 5x + 19$

Add sides 17

$8x - 17 + 17 = 5x + 19 + 17$

$8x = 5x + 36$

Subtract sides 5x

$- 5x + 8x = - 5x + 5x + 36$

$3x = 36$

Divide sides by 3

$\frac{3x}{3} = \frac{36}{3}$

$x = 12$

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6 ) Go...

$(12x - 29) + (4x + 1) = 180$

Collect like terms

$16x - 28 = 180$

Add sides 28

$16x - 28 + 28 = 180 + 28$

$16x = 208$

Divide sides by 16

$\frac{16x}{16} = \frac{208}{16}$

$x = 13$

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7 ) Go...

$6x + 5 = 8x - 37$

$8x - 37 = 6x + 5$

Add sides 37

$8x - 37 + 37 = 6x + 5 + 37$

$8x = 6x + 42$

Subtract sides 6x

$- 6x + 8x = - 6x + 6x + 42$

$2x = 42$

Divide sides by 2

$\frac{2x}{2} = \frac{42}{2}$

$x = 21$

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8 ) Go...

$4x - 18 = 90$

Add sides 18

$4x - 18 + 18 = 90 + 18$

$4x = 108$

Divide sides by 4

$\frac{4x}{4} = \frac{108}{4}$

$x = 27$

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9 ) Go...

$23x + 1 = 27x - 19$

$27x - 19 = 23x + 1$

Add sides 19

$27x - 19 + 19 = 23x + 1 + 19$

$27x = 23x + 20$

Subtract sides 23x

$- 23x + 27x = - 23x + 23x + 20$

$4x = 20$

Divide sides by 4

$\frac{4x}{4} = \frac{20}{4}$

$x = 5$

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10 ) Go...

$(13x - 2) + (4x - 5) = 180$

Collect like terms

$17x - 7 = 180$

Add sides 7

$17x - 7 + 7 = 180 + 7$

$17x = 187$

Divide sides by 17

$\frac{17x}{17} = \frac{187}{17}$

$x = 11$

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