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Question
Solve the linear equation:
`x + 7 - (8x)/3 = 17/6 - (5x)/2`
Solution
`x + 7 - (8x)/3 = 17/6 - (5x)/2`
`(3(x + 7) - 8x)/3 = (17 - 5x xx 3)/6`
`(3x + 21 - 8x)/3 = (17 - 15x)/6`
`(-5x + 21)/3 = (17 - 15x)/6`
6(−5x + 21) = 3(17 − 15x)
−30x + 126 = 51 − 45x
−30x = −45x + 51 − 126
−30x = −45x − 75
−30x + 45x = −75
15x = −75
`x = (-75)/15`
x = −5
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