5. Answer: x = -1
Step-by-step explanation:
x - 9 = 8(2x + 3) - 18
x - 9 = 16x + 24 - 18 distributed 8 into 2x + 3
x - 9 = 16x + 6 simplified (added 24 and -18)
-9 = 15x + 6 subtracted x from both sides
-15 = 15x subtracted 6 from both sides
-1 = x divided 15 from both sides
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7. Answer: x = 9
Step-by-step explanation:
[tex]\frac{1}{10}[/tex] (x + 11) = -2(8 - x)
x + 11 = -20(8 - x) multiplied both sides by 10
x + 11 = -160 + 20x distributed -20 into 8 - x
11 = -160 + 19x subtracted x from both sides
171 = 19x added 160 to both sides
9 = x divided 19 from both sides
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9. Answer: x = 10
Step-by-step explanation:
-8(8 - x) = [tex]\frac{4}{5}[/tex] (x + 10)
-40(8 - x) = 4(x + 10) multiplied both sides by 5
-320 + 40x = 4x + 40 distributed both left and right sides
-320 + 36x = 40 subtracted 4x from both sides
36x = 360 added 320 to both sides
x = 10 divided 36 from both sides
