Answer:
a) x = 17/8
b) x = 23
c) x = -8/11.
Step-by-step explanation:
a)
-3x + 5 = 5x - 12
Add 3x to both sides:
5 = 8x - 12
Add 12 to both sides:
17 = 8x
Divide both sides by 8:
17/8 = 8x/8
x = 17/8.
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b)
6(x-3)-4(x+2) = 20
Distribute:
6x - 18 - 4x - 8 = 20
Combine like terms:
2x - 26 = 20
Add 26 to both sides:
2x = 46
Divide both sides by 2:
x = 23.
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c)
-2/5(x + 3) = 1/3(x - 2)
Distribute:
-2/5x - 6/5 = 1/3x - 2/3
Add 2/5x to both sides by creating a common denominator:
-6/15x - 6/5 = 5/15x - 2/3
-6/5 = 11/15x - 2/3
Add 2/3 to both sides. Create common denominator:
-18/15 = 11/15x - 10/15
-8/15 = 11/15x.
Divide both sides by 11/15:
[tex]\frac{-8}{15}* \frac{15}{11} = \frac{-8}{11} = x[/tex]
x = -8/11.
