Hello from MrBillDoesMath!
Answer: x = 10 for 4x - 8 = 32
x = -5 for 2(x-5) = -20
Discussion:
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4x - 8 = 32 (*)
Add 8 to both sides:
4x - 8 + 8 = 32 + 8 =>
4x = 40 =>
x = 10
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2(x-5) = 2x - 2(5) =>
2x - 10 = -20 (**)
Add 10 to each side of (**):
2x - 10 + 10 = -20 + 10 =>
2x = -10
x = -5
Thank you,
MrB