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Mathematics, 22.06.2021 07:20 mpete1234567890
State the mathematical properties of all the steps in the equation below.
(2x + 3) β 7 = 8 + x Problem Statement.
(2x + 3) + (β7) = 8 + x
((2x + 3) + (β7)) + 7 = (8 + x) + 7
(2x + 3) + (β7 + 7) = (8 + x) +7
(2x + 3) + 0 = (8 + x) + 7
2x + 3 = (8 + x) + 7
2x + 3 = 7 + (8 + x)
2x + 3 = (7 + 8) + x
2x + 3 = 15 + x
(2x + 3) + (β3) = (15 + x) + (β3)
2x + (3 + (β3)) = (15 + x) + (β3)
2x + 0 = (15 + x) + (β3)
2x = (15 + x) + (β3)
2x = (β3) + (15 + x)
2x = (β3 + 15) + x
2x = 12 + x
2x + (βx) = 12 + x + (βx)
2x + (βx) = 12 + 1 Β· x + (βx)
2x + (βx) = 12 + 1 Β· x + (β1) Β· x
2x + (βx) = 12 + (1 + (β1))x
2x + (βx) = 12 + 0 Β· x
2x + (βx) = 12 + 0
2x + (βx) = 12
2x + (β1) Β· x = 12
(2 + (β1)) Β· x = 12
1 Β· x = 12
x = 12 Solution
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State the mathematical properties of all the steps in the equation below.
(2x + 3) β 7 = 8 + x Prob...
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