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5 ) Go...
[tex]8x - 17 = 5x + 19[/tex]
Add sides 17
[tex]8x - 17 + 17 = 5x + 19 + 17 \\ [/tex]
[tex]8x = 5x + 36[/tex]
Subtract sides 5x
[tex] - 5x + 8x = - 5x + 5x + 36[/tex]
[tex]3x = 36[/tex]
Divide sides by 3
[tex] \frac{3x}{3} = \frac{36}{3} \\ [/tex]
[tex]x = 12[/tex]
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6 ) Go...
[tex](12x - 29) + (4x + 1) = 180[/tex]
Collect like terms
[tex]16x - 28 = 180[/tex]
Add sides 28
[tex]16x - 28 + 28 = 180 + 28[/tex]
[tex]16x = 208[/tex]
Divide sides by 16
[tex] \frac{16x}{16} = \frac{208}{16} \\ [/tex]
[tex]x = 13[/tex]
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7 ) Go...
[tex]6x + 5 = 8x - 37[/tex]
[tex]8x - 37 = 6x + 5[/tex]
Add sides 37
[tex]8x - 37 + 37 = 6x + 5 + 37[/tex]
[tex]8x = 6x + 42[/tex]
Subtract sides 6x
[tex] - 6x + 8x = - 6x + 6x + 42[/tex]
[tex]2x = 42[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{42}{2} \\ [/tex]
[tex]x = 21[/tex]
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8 ) Go...
[tex]4x - 18 = 90[/tex]
Add sides 18
[tex]4x - 18 + 18 = 90 + 18[/tex]
[tex]4x = 108[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{108}{4} \\ [/tex]
[tex]x = 27[/tex]
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9 ) Go...
[tex]23x + 1 = 27x - 19[/tex]
[tex]27x - 19 = 23x + 1[/tex]
Add sides 19
[tex]27x - 19 + 19 = 23x + 1 + 19 \\ [/tex]
[tex]27x = 23x + 20[/tex]
Subtract sides 23x
[tex] - 23x + 27x = - 23x + 23x + 20 \\ [/tex]
[tex]4x = 20[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{20}{4} \\ [/tex]
[tex]x = 5[/tex]
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10 ) Go...
[tex](13x - 2) + (4x - 5) = 180[/tex]
Collect like terms
[tex]17x - 7 = 180[/tex]
Add sides 7
[tex]17x - 7 + 7 = 180 + 7[/tex]
[tex]17x = 187[/tex]
Divide sides by 17
[tex] \frac{17x}{17} = \frac{187}{17} \\ [/tex]
[tex]x = 11[/tex]
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